Without being on board it is hard to know at what point it switched from being "well within the bounds of what the crew can handle" to " abandon ship" and how sudden that was. And it's probably going to take quite a long time to get to the bottom of that.
Yes, exactly this - the Baden Powell nearby was firing engines and steadying the ship, and then when they next looked up, the Bayesian was gone.
Obviously time in urgent situations like that is hard to judge, but I think it’s fair to presume there was an least a short period of “wow, this is a bad one, let’s rouse the captain (if the captain wasn’t the watch) and check hatches/prepare to fire the engines/ensure the sail is furled”
I doubt crew were idling in those minutes, whether there were 2, 6 or 16 of them.
And… I don’t know how much of the manufacturer’s insistence on the unsinkability had been previously absorbed by passengers and crew. But I believe there were reports that some titanic passengers thought that it would be safer on the ship that had been described as unsinkable, but wasn’t, because the iceberg was big and ripped 5 compartments, and the maximum tolerance was 4. So the struggle to right the ship may have gone on a few seconds longer than in a “lesser” vessel because of disbelief.
That is pure speculation, though.