"Buffering" applies to the quite specific case where a video must be loaded into the memory of a digital device before it can be displayed. The memory used for this purpose is known as a "buffer". "Buffering" is short for "loading into a buffer". It can also refer to the delay while such loading takes place. It should not be used for delays with other causes.
To me, using "buffer" as a verb in this context ("Please don't buffer") feels a bit awkward, and I wouldn't use it that way. I would say "Please don't pause" (or "hang" or "freeze" or even "stop".) But it is likely to be understood, and in English many people do verb nouns -- that is convert nouns such as "buffer" (a place in memory) into related verbs (to wait for content to load).
Oddly enough, the noun "buffer" originally meant, according to the Oxford Online Etymology Dictionary "something that absorbs a blow, apparatus for deadening the concussion between a moving body and that against which it strikes" which is in turn derived from a verb "buff" (now obsolete) "make a dull sound when struck" which is derived from an old French noun meaning a blow, slap or punch. So this word has already gone back-and-forth between noun and verb several times.