I've never heard the term "minute math" before, but it doesn't sound so bad, as long as it isn't overdone.
Some background: ds's processing speed is low average. There is over 4 standard deviations between that and his VCI.
My DS's processing speed is low average. It is over 4 standard deviations lower than his math fluency. So low processing speed isn't necessarily a handicap when it comes to timed math tests.
I'm sure not, but it is in ds's case. I've seen it in action: pressure makes him shut down.
Minute math may seem innocuous, and in the early years it may well be. It's supposed to prove that a student is comfortable enough with their math facts that they can be retrieved automatically. When the student is in the later grades, I would think it's no longer necessary to prove that and what it does is reinforce the misconception that one must be quick in math to be proficient. It's simply not true.