Not necessarily. That argument can mostly only be used for major L1s like Bitcoin and Ethereum (and maybe and arguably BNB/Solana). L2s don't have as much staying power as these L1s as competition is far far tougher for L2s because it's very very easy for liquidity to switch from one L2 to another.
It still means im right. L2 cant stay long because people already use L1, unless they can bring more people to use their token like what happened with bnb