No- your 20 does not sound like a 22

For me, the 20 I had was a punch master, but lacked the "boom". So it was great for small stages where I didn't need a lot of boomy bass.
Now...bigger stages that I don't have a mic, I need the bigger size bass & a 20 just won't cut it.
Agreed. Usually, when I play a stage that would demand a larger bass drum to make a bigger sound, a sound system is involved, so I don’t need to bring one.

When I play a larger stage, or with a louder group, and I’m NOT going to be miked, that’s when I break out the kit with the 22” or the 24” kick drum. They don’t sound quite as good as the 20”, but they’ll do…