"Swift completion" is relative to the game, not the community

[Xirean]

Personally I've always been an advocate for pulling at a pace the healer can handle, instead of just unilaterally setting the pace to always be fast, if the healer can barely handle 3 mobs then you pull 3 mobs, if they can handle 3 mobs somewhat well but struggle with 6 then do 6 when you have more cooldowns and pull 3 when you have less, etc.

While you're not expected to have sprint popped all the way through you are pretty much expected to not be standing around unless you're typing or if there's some other reason like the dog needs to be let out or you're waiting for a party member to finish their cutscene before pulling.

That being said, majority of pugs are fairly tolerant of a slower pace, but don't be surprised if someone asks you to pull more mobs if you're only single pulling while the healer isn't having any issues with your hp

I heavily question your definition of fast with this example. 3 Mobs (which is just one pull) is slow and if a healer can't handle healing me through that (which they don't need to heal because that won't hurt at all) then there are much larger problems at play.