LN vs BTC block size?


One of the criticisms of the BTC blockchain is the small block size which makes it unsuitable to process large number of transactions. People often quote Visa and Mastercard’s ability to process transactions by many folds compared to BTC.

From what I understand, the workaround for this is the Lightning Network (LN) which allows payments to be done at the 2nd layer before it is eventually verified later on the main chain.

Tried looking for the answers online but is not able to. Maybe (most probably the case) my understanding of this is wrong but if BTC (through the LN) is adopted by the masses (processing the number of transactions at the current level of Visa and Mastercard), wouldn’t that result in a never ending and growing backlog of LN transactions that has to be verified on the main chain?