I could have sworn that I found that feature at either the Equifax or Transunion "user control" websites, trustedidpremier.com and trueidentity.com, respectively.
I can't find it this morning on the Transunion site and don't feel like trying to do an unfreeze and freeze on either to see if the option pops up.
In the end, I really do not care all that much who might make an inquiry against the account if I open it for a brief period for an intended query. The probability of some nefarious actor "just happening" to try to set up new credit in my name during the brief window I've lifted a freeze for a legitimate query is infinitesimally small. Most checks can be made "while you wait," so if you use a mobile device to unlock and relock your report it can be completely done in under 30 minutes.
If one were doing this by phone it's doubtful that you could have any real precision, timing wise, anyway. I have never handled any of this stuff via phone except for the initial parts where that was essentially a requirement as part of the process.
Brian AKA Bri the Tech Guy (website in my user profile) - Windows 10 Home, 64-Bit, Version 1803, Build 17134
. . . the presumption of innocence, while essential in the legal realm, does not mean the elimination of common sense outside it. The willing suspension of disbelief has its limits, or should.
~ Ruth Marcus, November 10, 2017, in Washington Post article, Bannon is right: It’s no coincidence The Post broke the Moore story