The manual does not state the cooling off period, but 30 seconds sounds ok.
Some bulbs malfunction before their due date, it happens.
Bulbs not sold by Epson are a risky proposition. Some might not work, burn up quickly, or damage the projector. The ones that are ok generally have a lower lifespan and or lower brightness, by as much as 25%.
LE:if you live over 1500m/5000ft High altitude mode can be activated.