Without the BattCar system there's simply too much friction to have much luck reefing the main without heading up to at least a beam reach. Today's prevalence of swept spreaders adds to the difficulty.
We typically round up to a close reach and put in a tuck before bearing off again.
".. there is much you could do at sea with common sense.. and very little you could do without it.."
Capt G E Ericson (from "The Cruel Sea" by Nicholas Monsarrat)
1984 Fast/Nicholson 345 "FastForward"