Newbie question (L2)

I often see suggestions to use L2 whenever someone complains about eth gas fees. I have 24 matic sitting on the ethereum chain and if I try to move it to any L2 service i still need to pay usual gas. The gas, as you have guessed probably, costs more than the measley 24 matic.

My question is whether moving to L2 makes sense only as a "pay high gas fees only once and save later" option, or have i not found the right L2 service yet?

PS: This is mostly an academic question. The matic was moved as a test long ago to try out metamask for the first time. I do not habitually put tiny amounts in their own wallet (anymore).