What is the issue?
both the player and entity's disappear when essential mod is installed and animation enabled

Conditions to reproduce
without animations enabled (in chunk fade mod settings) it works fine but the next time you restart the game with it enabled the entity's including the player disappears

Does this issue appear only with Sodium, Iris and Chunks Fade In?
the version tells me to install sodium

Full Minecraft logs
last log report

Don't use Essential then ¯\_(ツ)_/¯
It is closed source and one of the most cursed mods ever

cursed? are you sure were talking about the same essentials mod?
also it works just fine unless you turn "animation enabled" on in the chunks fadein setting

cursed? are you sure were talking about the same essentials mod?

If you mean that shitty mod "to play with friends" stuffed with payed cosmetics (even worse than in Bedrock Marketplace), incompatibilities with mods, forced updates, four (!!!) preloaders, invasiveness and other dirty things, then yeah, we are talking about the same mod from essential.gg.

also it works just fine unless you turn "animation enabled" on in the chunks fadein setting

I'm not the CFI dev, but I understand that you can't easily fix compatibility with closed-source mod. You can't know exactly what kind of crap Essential is doing under the hood, and trying to fix it is like trying to walk with your eyes closed.
Anyways, you should wait for the answer from kerudion, I'm just warning you that you shouldn't expect much from Essential compatibility. It will be easier for you to use its open source alternatives for now. World Host or Cosmetica, for example, or any other mod with the same functionality.

By the way, if you want to play with your friends from Bedrock, this is what World Host will let you do in the future.