If you want Bitcoin to scale, you need a block size increase in conjunction with a 2nd layer payment network. You have to initiate the channels, in LN with an on-chain transaction and an on-chain transaction to close the channel as well. You cannot accommodate for those without having to increase the block size or make transactions more efficient.
The problem with solely increasing block size alone is that it is not a panacea for the scalability problem. You cannot increase the block size to compete with the next best payment processor. There is a limit till block size becomes excessively large and it won't be feasible to do so then. ECDSA signatures has to occupy that much space in a transaction while data compression is possible, I doubt it would be able to truncate the data to that extent.