Yes. The Stripe Button documentation even redirects now to https://stripe.com/docs/button

Fortunately, the "old" Button <script> still works for now. i.e. <script src="https://button.stripe.com/v1/button.js ...>

Yeah, we've had various iterations of this live on the site for a while, though we never announced anything. We renamed it to "Checkout" a few weeks ago.

I'm curious about this too...