Hi Sharry, nice choice! This is one of my favorite species. It's hard to answer your question about when leaves fall because it really depends on your individual plant and on how cool and dry you grow it in the winter.
I will say that I've never noticed a difference in number or quality of flowers whether I keep my loddigesii bone-dry or watered throughout the winter, but it does
grow much better when I water enough to retain leaves on the most recent generation of growths, which year-by-year leads to a bigger plant and better flowering. Concerning 'keikis,' these are a normal and expected part of loddigesii's viny growth habit and their occurrence seems unrelated to winter moisture (ie in most clones they'll happen no matter what).
When nights consistently drop below about 50-55 F (maybe as late as Thanksgiving for me, probably earlier for you) I'll go to winter watering, which is usually once or twice a week, basically letting the plant get just dry between whereas right now I don't let it dry out much at all. When I see new growths appear in the spring I cut back water a little more as they're prone to rot if they get wet, but once they start pushing a few roots I ramp it up to summer levels pretty quickly.
Cooler temperatures seem to be the primary blooming cue for this and many related species, though dropping overall moisture somewhat probably helps the bloom-inducing hormones rise to critical concentrations at bud sites more quickly.
This is just what works for me and may need adjustment for your conditions and growing style. A good source of info for any orchid species is the
Bakers' culture sheets, a bargain at $1 or less apiece. Hope this helps!