Can't see why not and I'm sure it would be an interesting discussion. Vaughan was terrific tactically and Strauss did take us from 51AO in the West Indies and ranked 5th (?) to an away win in Aus and No1. But as a man manager and I believe tactician Brearley was outstanding.
I think Vaughan's man management was also excellent and, as you say, his tactical nous was great. In terms of adding value, he led a team of good players, but not many who could honestly be described as great players, to some of the most famous wins I our life times. On the down side, his final couple of years weren't great tbf.
Strauss, as you said, inherited the fall-out from KP's brief reign and, in terms of adding value, achieved masses. Very good man management, and tactically sound, without being (or needing to be) particularly innovative. Again, loses some credit for not stamping out the cliques and divisions that marred his final few months in charge.
Brearley's man-management and tactical excellence were beyond question, but he was a very lucky captain in terms of timing. Inherited a side that was already improving under Greig, and then got Botham's best years. Didn't get to lead against the best side in the world (see also, Illingworth, R.). Even in 1981, needed Botham and Willis to produce ATG performances after Aus had racked up 400 under his watch on a wicket where 250 would have been a god score. OK, I'm labouring one side of the argument, but you get my drift.
As for Hussain, great in Pakistan and SL, but started off by taking us to the bottom of the rankings at home to NZ (and don't forget that under Stewart we'd beaten SA 12 months previously), and needed Stewart's intervention at Lord's to prevent us losing at home to WI 12 months later. Thought it a good idea to insert Aus at Brisbane in 2002, although I'm not suggesting that changed the series outcome really.