....................As for using a winch to pull in the furling cord, I wouldn't recommend doing that, it is possible to put so much effort into the winch that the furling line will break. My boat used to go out on charter, prior to and just after I bought it, and that's how I know. It also resulted in a lot of other damage which is another story altogether !!
I mentioned about using a winch in reply no 2 to this thread, and the dangers of putting too much effort into the winch. My boat used to go out on charter, and the couple who chartered it got caught out in bad weather and resorted to winching in the furling line. The line was in good condition, but for unknown reasons the "finger tips" on one of the "cupped hands" that "Mark the Bike" wrote about had curled over, and the Furlex 200 system jammed in that direction. They lead the line to the winch and the in due course with all the effort they applied, the furling line broke. This allowed the sail to unfurl and in the worsening weather and with an uncontrollable sail they untied the knots in the ends of the Genoa sheets allowing the sheets and the sail to fly uncontrolledly. The sheets went over the top of the mast in the wind, taking the VHF antenna and the wind instrument with them and the sail was shredded during the bad weather. In their initial haste to deal with the situation the helmsperson stood up, forgetting that the seat had not been resecured since their last port call, and so they had to say goodbye to it. The bad weather tore one of the windows out of the sprayhood, and when they did eventually find a port where they could shelter, the short lead via the starboard fairlead and a short steep swell resulted in the fairlead joining the helmsmans seat. Okay, some of that might not be directly attributable to using a winch to haul in the furling line, but if a winch is used on something that was never intended to be winched, there is a very real risk of using too much effort and destroying the job rather than improving the situation.
My point is that if you have to use a winch to haul in the furling line, then it's likely there is a problem elsewhere that has been missed and which you need to find and fix.