Theory Crafting: How does The Ivory Tower interact with Warlock of the Mist's Crimson Power?

Disclaimer on RF Discussion:

With the RF change in mind, I wanted to contemplate how high I could stack JUST life for the fun of it. Crimson Power sounded like a fun, alternate way to try to get silly life numbers, even if a hybrid life/es build could reach overall higher effective Max HP.

Disclaimer on The Ivory Tower with Crimson Power:

Seeing as some people speak of The Ivory Tower as an excellent choice for Life/ES stacking with RF, I had a hard time trying to parse the Crimson Power interaction in my head and would like some help from people with more in-depth knowledge of POE's conversion chains. Thank you in advance!

Full Context/Math to my Theory:

TLDR: Does Crimson Power's HP get modified by percent max life modifiers or percent max ES modifiers? Given a percentage life reservation skill, assuming the life provided from Crimson Power gets reserved too, does that extra life reservation re-apply to The Ivory Tower? If so, when does this reservation/ES conversion stop looping?

Some other stuff:
If I assume there is no double dipping based on other interactions, the more you reserve, the LESS effective The Ivory Tower is at it's bonus when applied to Crimson Power.

I doubt it's possible beyond theory, but there is a ridiculous combination of percentage increased and percentage more modifiers to reach such a high value that you negate the reservation effective HP loss entirely from certain reservation percentages. For example, in order to break even from 50% reservation, you would need +567%. If your reservation percentage was 15%, you need +292%.

Is all of this just an elaborate way to provide "increased life reservation efficiency" that also happens to artificially inflate maximum life, but have no other benefit? I'm thinking yes lol

I highly expect that Crimson Power only applies to the energy shield that the amrour would usually provide i.e. Ivory Tower would only give you 76-85 energy shield, because that's what a Saint's Hauberk provides and Ivory Tower doesn't have any local %es mods. I also expect that the life that you gain is not affected by increased global energy shield mods, though I could be wrong.

If it does work... it's an interesting question. I played around in Excel, and there is a threshold between logarithic and exponential growth. It's been too long since I did series convergence so I am not going to analyse it, but with the right %increased life and %reservation, it shoots off.

All things considered, I don't think Ivory Tower and Crimson Power will work together. If it does though - we're gonna either have people crashing the game, or walking around with 2.147 billion health.

So going off PurpleChakra's post:

Assuming that the life gained by Crimson power is not affected by percent maximum life, but rather percent maximum energy shield since that raises the ES provided by the LOCAL ES on armor. In order to get the highest benefit from Crimson Power, you need to have amour with high LOCAL ES and high percent ES modifiers and/or high percent "global defenses" modifiers instead of scaling nothing but percent life.

Then, modifiers that add flat ES to you OUTSIDE values shown on armor, such as flat ES provided by the tree or items like The Ivory Tower will do nothing, but items like Shaper's Touch would still work since the "1% increased Energy Shield per 10 Strength" modifier affects the LOCAL ES of the gloves.

This makes building around Crimson Power more interesting since a lot of the really good ways to get increased percent ES also come with useless stats like flat ES or ES recharge, and previously inefficient rares that gave high LOCAL ES and percent life regeneration hold a lot more value. You also have to consider how you overcome the nearly 600 maximum life deficit that is lost by gaining levels.

This kinda makes sense too. If Crimson Power scaled at all based on percent maximum life modifiers, it would cause double dipping on the LOCAL ES modifiers on armor.

Thought about this when I 1st seen Crimson Power.
But What I think happens is it might only takes the base armour of Es so the effect might not even work at all since it adds via a effect.

Or it could just apply it 1 time based on current value so it before the shield is removed then it apply.

If did do res life inc shield from tower 1st then apply it to health via crimson power after.

Wont really know till try it, it might just be like I said as where its only based on base shield and don't 2nd effect at all.

Poe being poe all sounds great on paper till you try it and go well that dont work as it should or sounds like it should.

Thought about this when I 1st seen Crimson Power.
But What I think happens is it might only takes the base armour of Es so the effect might not even work at all since it adds via a effect.

Or it could just apply it 1 time based on current value so it before the shield is removed then it apply.

If did do res life inc shield from tower 1st then apply it to health via crimson power after.

Wont really know till try it, it might just be like I said as where its only based on base shield and don't 2nd effect at all.

Poe being poe all sounds great on paper till you try it and go well that dont work as it should or sounds like it should.

Also was thinking about Ivory with Oath of the Maji could be really nice as well.