But I don't think that a request to advise the reason for the Go Around when able is unreasonable, once the aircraft appears to be stabalised.
Its not
Unfortunately I don't think the time line has been squished.
I certainly don't have a problem with you restating the go-around procedure as long as your not looking for a reedback.
Although if its a windshear event as described by the poster above I wouldn't be surprised if the aircraft didn't have the performance to turn. It really is a case of keep the wings level and set the pitch and just hang in there. You can't even put the gear up because it creates to much drag. All the time the PNF is calling out the vertical speed when you get to +100 you stop hearing your heart beat between calls. The come down off the adrenalin surge isn't very pleasant either and it maybe a couple of mins before you get a coherent reply out of us.