Before thing CG, I never had a problem with cones. I was washing everyday with a sulfate 'poo & straightening, so cones kept my hair smooth & frizz free.
After starting CG (modified at first), I found gentler surfactants, like coco betane, didn't remove all the water-soluble cones from my hair, even though they were supposed to. I never co-wash exclusively, so that wasn't a problem.
Of course, it all depends on the individual, hair properties, water quality, washing technique, etc...
I always sound like a zealot, but in my personal experience, polyquats & cationics build up on my hair way worse than cones ever did. Many of the cone-free products are loaded with them & it took me a long time to realize why my curls was limp, dull & stringy. Normal 'poos (anionic) only make them cling tighter to the hair shaft, compounding the problem.
Again, though, some curlies love 'quats, so your mileage may vary.
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2C/3A--med-coarse, slightly porous (highlighted), very dry & protein sensitive
No-Poo: Naturally Amari Berry No-Poo (w/o Aloe & Horsetail)
Condition: Suave Daily Clarifying & Sun-Ripened Strawberry
Stylers: 4Naturals Spring Back, L'oreal Everstyle Curl Defining Gel
Avoiding: sulfates, ‘cones, parabens, polyquats/cationics (except stearamidopropyl dimethylamine), most proteins/extracts.