Don't get me wrong--drying racks don't get a 'dedicated space' in our 1000 sq ft of paradise! They only come out when they have work to do; the rest of the time they are folded and hanging high on the wall!
I don't have room to dry anything flat if it is too big to go on top of the rack.
That 'too wet to hang' problem went away when we got a Miele washer with a spin cycle that really spins much more of the water out than the cheepie washer that came in this condo.
As for putting a wash friendly jersey in the washer in a cold cycle, it should be fine. It is probably good to keep the zipper zipped in the wash so it is only one weapon rather than two. I also go a little overboard with laundry (lingerie) bags for lots of our wool items so that the base layers don't get as beaten up, but it is probably not necessary.
Each day is a gift, that's why it is called the present.