Cold storage change for ETH2.0 & layer 2’s

Ok, apologies if this comes across as a basic level question but if one were to store Eth on a cold wallet for the long term, what would be the process in the future to then have access to those tokens? I’ve read about Rollups decreasing fees and improving transactions significantly. Basically, is one fine to hodl using current hardware wallets (i.e Ledger, Trezor) as layer 1 fees will only get more expensive.

Or am I totally wrong.