Judging by the pacing of last year's thread, we are four days ahead of schedule, and should expect the LOR requests within a few days.
If you look to that thread, there were people with Fee Received on 6/28, then LOR request 7/1 (there were several people with 7/2), but then if the fee was received on 7/1, it got backed up to 7/14.
The earliest interview invite was 7/18, which could come earlier this year.
However, the earliest rejection was 7/7, so that may be accelerated as well.
Moral of the story: the sooner everything is in, the sooner you know.
However, keep in mind that Mayo tends to do everything in batches. There were several people who waited two weeks to get their fee/LOR request, while others had to only wait one, but they came in on the same day.