You asked:
Wouldn't he have been making a Seder with matzah in his home?
The Or HaChaim HaKadosh explains that Lot did not observe the Torah and its mitzvos as Avraham Avinu did:
The correct meaning of the verse is that while Lot prepared a meal for them the angels ate only matzot. This was because Lot did not observe the commandments of the Torah as did Abraham.
So, according to this, he wouldn't have been making a Seder.
Interestingly, the Chizkuni writes that his house was at the gates of the city, and he sat there judging:
ולוט יושב בשער סדום, while Lot was seated (as a judge) in the public square of Sodom;” this was at the time when the quarrel about his guests broke out and he returned home, which was close to the gate of the city.