That word "acrylic" simply means that it's made out of the same plastic
that Plexigas is made of, which is a plastic called "polymethyl
methacrylate" or PMMA for short.
I agree with the previous post that PMMA simply isn't durable enough to
provide good service on a kitchen back splash. If you clean PMMA with
an abrasive cleaner, like a Magic Eraser, you'll leave tiny scratches in
it. If you clean it with the wrong solvent, like acetone or lacquer
thinner, you'll damage it.
In my view, you'd be better off using a harder and more chemically
resistant material. Plastic laminate, in my opinion, makes a pretty
good backsplash material. Back in the 1960's they made lots of square
edge counter tops and backsplashes with matching plastic laminate.
There's no reason you can't use plastic laminate nowadays as a practical