Are vinyl food gloves from Gordons Food Service appropriate for a facility to use for personal care?

Thank you. The gloves in question are not medical grade.

The gloves are basically protection for you. Some are made from Latex that one of the Nurses I worked with was allergic to so I had to order her Latex free. The powder is so you can get them on easier. This is the propper way to remove them. The less you need to touch them after use the better.

https://www.fairview.org/Patient-Education/Articles/English/s/t/a/f/f/Standard_Precautions_Removing_Gloves_Safely_82546

The type of food service gloves varies. Some would be acceptable some not.
If they are very thin and split upon putting them on then they probably should not be used at all.
If they are the more durable ones then they would be fine. If they become soiled during care they should be removed and replaced. If they get torn during care they should be replaced.

They'll do. They're not ideal, the fit is usually loose and the quality isn't always all it should be, but they create an effective barrier good enough for the purpose. We went through a phase of having to use catering gloves simply because that was all our suppliers could get hold of - all of the medical/examination gloves had been snapped up in the pandemic rush. We've got better ones again now, and a choice between nitrile or vinyl.

The powder free ones are preferred because some people (and some clients) are allergic to the powder.

Powdered gloves can be easier to get on when you are washing your hands a lot but that powder can also be messy and usually medical gloves don't have it, but I'm not sure if there is a medical reason for that. When I was caregiving I used to shop around to find the cheapest ones and sometimes that was the ones from the hardware department, in my experience they are all alike no matter how they are labelled.
Oops, I see they have both powdered and powder free gloves - in that case I imagine the facility is simply shopping around for the best deals.