I might be wrong but I think it's like this..
A finds a block after 1 minute, then powers off and waits for another minute. They reveal the block after 2 minutes.
B searches for the block for 2 minutes.
After 2 minutes, A has used 1 minute of their compute, and B has used 2.
But the time spent by B is not wasted. If they find a block between minute 1 and 2, their block will be accepted, and A just lose the reward of the block they found.
In this case A would be at an advantage to spend the 2 minutes looking for the next block. If they happen to find another block quickly they could release then in quick succession.
The benefit there is that if another miner released a block before that 3 minutes this miner still can release their first block and has already spent 2 minutes working on a block that could better validate their first block now that there are competing chains.