Peppers really need more heat to germinate reliably - especially with older seed, which is often what I am using. I've documented my germination results in past threads.
Tomatoes are more tolerant of cooler temperatures, and I see little variation in germination days or vigor, even between new & old seed. Tomato seed also has a much longer storage life than peppers.
Pepper seed is much more sensitive to soil temperature, and even the difference between 70F (20C) and 80F (26C) can make a big difference in germination. I used to start seeds under lights at room temperature; some peppers might take 3-4 weeks to germinate, and then poorly, often with weak seedlings. When I began using heat thermostatically regulated to 80F, germination was still variable, but less so; and I'd estimate the average was 5-7 days faster. More importantly for me, the germination rate was
much better for older seed.
As
@digitS' mentioned, the old-style refrigerators (those with coils on the back) were a good place to germinate seeds. They are warmer on top than the rest of the room, due to warm air rising from the coils. But my new(er) fridge has the cooling soils on the
bottom, with a cooling fan - so the top is
cooler than the room (I store my flour there for that reason).
You can also increase the germination rate of peppers (and almost any annual seed) by watering the first time with a light nitrogen-containing fertilizer solution. This is especially helpful with older seed.