Stock vs CM vs AOSP vs AOKP ROM's

Hey everyone. After noticing that Moto X Style (Pure) is getting a lot of new ROM's of different base I am starting to be curious .
What is the best advantages and disadvantages of all bases: stock, CyanogenMod, AOSP, AOKP?

I will try to flash some of them, but right now I don't have time to experiment, so I created thread for this question.
Earlier I was Samsung Galaxy S3 proud owner, but after experience with TouchLAG, ou sorry, TouchWiz, I tried a lot of bases, but the main disadvantage of all but stock ROM's was that all "drivers" for my device was gone! - camera quality and speed, audio loudness and quality, screen colours, battery life, and other features was gone. Also battery life on outher ROM's is not so good, and a lot of bluetooth wakelocks was coming to. The main advantage of custom ROM's was speed and ability to modify everything!

So now, I am looking for answer, what will I loose after installing custom ROM to my device.
1) I suppose that Moto features like moto display and all gesture controls will be gone? But is it possible to add ambient display to work with IR sensors of Moto?
2) After my Galaxy S3 experience, I am curious will I loose my camera quality, audio, and other? Will it loose some of its juice?

I am TruPureXMM and Frakenclark user with Xposed (GravityBox) and other stuff, so basically I have all functions that I want, but, maybe with custom ROMS its possible to gain some battery life and some perfomance.
Feel free to write comments, I want to know what is your experience with custom ROM's, what did you like, what not!

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