We'd have the problem with our sloop
The key you leave out is the boat hook! One crewman jumps onto the quai with a line, while another 'catches' the boat on the drift with a boathook to hold it off the windward pole. Then give it a hearty push as it passes the rigging
and the dock side crewman pulls the line (bow OR aft) and the boathook-mn crosses the beam to catch it off the lee side pole. All the while, the lineman would be 'walking' the boat into the slip.
Of course it's seen better if you imagine this with 4 crewmen. Two with boathooks and two with lines.
We'd call it 'walking the boat into the slip.' The boat slides, don't you know. It's FLOATING, f' goo'ness sake. The lines and the boathook fend it from the wind's manipulation.
It's not all that hard. Furl all sails!