Timothy,
I don’t have a clue about whether the gap between panels does any harm or not. I just know that Roger Taylor has covered thousands of miles in his Mingming II. The gaps between the four lower panels are clearly visible in that rig (the upper section appears to be in one piece? ). Mingming II seems to perform all right, as most boats with cambered sails do.
However, lack of floor space is not an excuse for using separate panels. One will anyway need floor space for lofting one full panel, and with that space available, one can also do the sewing. If done right, just about all sewing is done along an edge, so there is no need for rolling up big bundles of canvas to pass it under the sewing machine. Making my 35sqm sail for my Ingeborg in my crowded, little living-room shouldn’t be possible, but it worked well. Sewing was no problem at all. It was more a question of getting the lofting right and accurate. Measure twice - cut once!
Good luck!
Arne