Since I have a well and can water liberally I actually don't mind dry weather for seeding. I just prepped the front left yesterday (about 25k sq.ft.), have a wedding to go to today, but should get the seed down tomorrow.
I've had a few experiences with having seeded and watching the forecast evolve from a 30% chance of showers 5 days out, to HEAVY RAIN 3 days later, after the seed is down, with 3 to 5" of rain. Oh well, lol. Still gotta go for it on most occasions, because it's the weather. Sometimes we get "just the right amount" of rain.
Eta - so for me, seeding has sometimes meant inches of rain as opposed to a drought. Kind of like the getting your car washed effect.