I'll typically give out 3 slots that work for me and "if none of those work, propose a few days next week where you have availability and I'll offer additional slot in those days".
I've only had that go more than a couple rounds when trying to setup meetings with someone incredibly busy (and those people often have assistants that I can work directly with to find a slot). I'm not opposed to getting on a phone call to setup a meeting, but only after the vastly more efficient method has failed twice.
Sure, if I wanted to offer “take any free time” to the counterparty. It’s more common that I want to offer a slot that’s adjacent to other interruptions in my day. If I have a 4 hour block of focused work time, I’m not offering as an opening bid 30 minutes in the middle of it to my CEO let alone a recruiter.
Now gomand schedule five interviews that way. Makes 15 slots blocked, till responses are in. And then the day not packed in a way that remaining time can be used in meaingful ways.
I've only had that go more than a couple rounds when trying to setup meetings with someone incredibly busy (and those people often have assistants that I can work directly with to find a slot). I'm not opposed to getting on a phone call to setup a meeting, but only after the vastly more efficient method has failed twice.