My fears had nothing to do with gravity, to be honest.Below about 2g there is nothing much to worry about, things can get exciting above 2g as accelerating in the direction the ship is trying to fall can lead to some very rough landings.
The docking computer can be very good at keeping things in control in that situation even in a heavy underpowered ship, having Flight Assist on a hold button to turn off can work if you just tap the button to let the ship start to fall.
What scared me the most was that timer ticking down.
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