No, but what should happen in cases like that is that the on-click handler disables the button while it is unresponsive. This will communicate the fact that the button is unresponsive visually to the user and also inhibit the button-was-pressed feedback.
In most cases that is going to lead to annoying pointless flickering as most actions & animations are basically instantaneous, and with touchscreens even in the non-pointless scenarios it won't have the desired effect as the button itself will be hidden from the user by their own finger.
In principle I think you are right, but in practice buffering presses is often probably the more user-friendly option.
Well, yes, dropping user inputs is "being broken"
EDIT: sometimes UI elements with mouse-held interaction allow you to use the escape key to cancel an in-progress interaction (ESC: abort, mouse-up: commit) however the reply button on this page doesn't work that way so I have to edit this message to add this. That escape-key behavior should be universal I think.