Decision day is this friday - I agree they are quite different as far as perpetuals go, but both do share some characteristics - stylish, clean, classical design, excellent movements... I'm a humungous fan of both houses. Been visiting both ADs trying the watches on regularly (and driving both ADs nuts), the only things that sort of bug me with the L&S dial are the "Perpetual calender" inside the monthly dial and the luminous hands. The patek seems a little simpler (cleaner) in that sense, but perhaps a bit too "delicate".
Anyway, thanks very much, and please continue to add thoughts if any. Been following this forum with great interest and have always found it very informative.