Litespeed always said grease was perfectly fine. Anti-Seize obviously works too as does a couple of layers of plumber's teflon tape. As long as you lube the threads reasonable well, there will be no problems.
I have a '96 Litespeed with over 70,000 miles that has been ridden in every possible condition and the bb is still in like-new condition. I used grease for the first few years, anti-seize (because I had a can in my garage) later and finally teflon tape. The tape keeps it very quiet and doesn't get on your clothes. Anti-seize is really messy. All of them worked fine.
One thing I always did was to disassemble the bike for a thorough cleaning and relubing about once a year. The problems from seized anything (bottom brackets, seatposts, stems, whatever) are mostly due to neglect and lack of routine maintenance.