With my son and his similar 3-4 SPD friends, there is no skin reaction to creams or shampoos, etc. They just don't like being touched unless you warn them or ask permission; basically being surprised is a no-no.
If the skin reacts to things, you may want to look into a skin allergy/dermatitis. There is also urticaria - reactions to touch, water, sun, etc. Do a quick search on urticaria and you'll see skin reacts like mosquito bites/welts, plus more. I hope this helps.
As far back as I can remember, a lot of these on the checklist were me as a child. My son also has them. I am still learning about it all and he’s only
Usually when proprioceptive dysfunction is explained the symptoms described are those of proprioceptive undersensitivity: bashing into things, crashing,