Can getting a lot of Botox reduce skin elasticity?

My jaw muscles are quite developed, so I am getting jaw Botox.

I heard that getting jaw Botox for a long time can make your skin look a bit less elastic.

It seems there are actually people who do that.

I haven't really noticed it yet, but I think I would be a bit worried if my skin looked like it was losing elasticity.

Does Botox also affect skin elasticity?