Those birds are gorgeous.Great question! I've never considered this before as I never connected the two. I use ick as an expression equivalent to yucks, like when I see the slimey mess in the sink after DS1 has cooked a delicious meal. Squick was used for a subject or image that made me uncomfortable, so yeah, "sleeping" pheasants squick me and I have no doubt that I'd find dressing them IRL icky, but I don't use the two terms interchangeably.
If you do a seach, there are some sites that say squick was born from marrying squirm to ick. Maybe. Who knows? I like the explanation on fanlore.org which gives a possible etymological root and history for the word, and juxtaposes squick against trigger. I read tonnes of fanfic, so this was of especial interest to me.
Sorry for going OT. A few feathers to bring us back:
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There is always the reliable term, "grossed out." Apologizes if I said this before, but I read that Armani was selecting his models for a show and for some he said, "gross, gross." That cracked me up. The poor models were probably just too heavy.