In GraphiQL you can choose from a list of queries specified by the operation name. Here’s some screenshots to help make this make sense.
When you have two mutations / queries side-by-side and they don’t have an operation name you can’t run them.
When they have operation names they can be listed when you click the play / run button.
This is the biggest case for having an operation name that I’ve seen so far.
But it’s not necessary because when you just have run query / mutation that’s what’s gonna run.