It is a good analogy, but people still have no idea why they have to pay onchain fees to move sats from layer 1 to layer 2.
Very few even understand that these are two separate layers.
Discussion
To explain that one can say, the second layer is used to collect more transaction into let’s say one, so that the fees are payed just once per all the transactions.
If they tell I don’t pay to withdraw cash, tell them it’s a lie! They for sure have a fixed cost on the account or they pay the tx!