I have NOT used any human wipes on my cat so far

Just check the baby wipes and make sure they are the unscented type.
Before nice people at earthbath sent earthbath tushy wipes for review, I always reached for a baby wipe when there was a dingleberry alert in the house. But products made for babies aren’t meant for cats. For something to be safe for a baby, there are different considerations than there are for cats. Babies don’t lick themselves all over, after all.
I had the same thought about the baby wipes - if they are safe and gentle enough for babies they would probably be safe for our cats.
If you’re familiar with baby wipes, cat wipes are the feline version. They’re usually slightly damp and contain cat-safe detergent and conditioners to help remove light dirt, minor stains and the saliva that produces reactions in cat-allergic people. When Siouxsie’s arthritis got to the point that she found it hard to groom herself effectively, I used wipes on her. If you use wipes, be sure to buy only products made for cats, and I recommend unscented wipes if possible. Are baby wipes safe for cats?Are baby wipes safe for catsBaby Wipes Safe? | The Cat Site
No - use pet wipes (if you need wipes at all) Pet wipes are especially made for cats with ingredients that will not harm a cat if it licks the residue from the wipes off its fur. You can't be sure a baby wipe is safe for cats as will a baby really lick all over its skin? No.Cats should have a good quality scratching post to use which helps clean and sloth off the nail sheath. In doing so they sharpen the tip of the nails continually. This also helps as most cats readily go to a scratching post instead of your furniture if you work with them when they first arrive at your home. By giving them something to sharpen those claws with, your personal furniture should be safe. Nail clipping at least once every two to three weeks and can be done before (if you are worried about being scratched) or after a bath, or while you are sitting watching your favorite weekly TV show inthe evening. Make it an enjoyable experience for both of you. Have clippers and a wipe such as a baby wipe or Stridex pad which has some ingredients that break up oils, available before you sit down to do this easy but essential part of grooming. When clipping the nail do not clip any shorter than the quick (which will bleed profusely if you clip too close). As the nail curves downward and thins (the sharp part) the quick stops. If the nails are light colored you can see the quick, if the nails are dark err on the side of caution and clip just a bit of the sharp end but more often. Use the wipes to get the residual oils that may collect on the nail bed (base) and in the fold behind the nail. This is the extra skin which sheathes the nails on a Sphynx. Wipe with a damp wash cloth after using any product that contains a chemical, cats lick and you don't want your kitty ingesting those chemicals. The oil residue which collects is usually a brownish color and can become quite stubborn so regular cleaning is a must. I believe bacteria can also be picked up in the litter box as they scratch in their litter, when toes are oily or dirty.