For the scenario of large-scale transactions, will ETH 2.0 render ZK Roll-up Layer 2 solutions redundant?

Hey all, please excuse my lack of knowledge regarding Layer 2 and ETH 2.0. I'm mainly wondering about low gas fees.

Layer 2 in my eyes is optimal for small and scaled transactions (e.g. if Starbucks allowed all of its customers to purchase coffee using an L2 coin) because of the low gas fees and faster transaction time. Will ETH 2.0 PoS effectively eliminate the need for an L2 solution in this scenario?