While I cannot comment on this particular film/developer combination, I'm a recent convert to and prosetylizer for rotary tube development. When I switched, I did some rudimentary experimentation and found that my development improved markedly with tube over tray, and that my development time decreased by 10%. Using this rule my negatives, when checked on the Noritsu densitometer, have much better contrast and are easier to print.
For instance, using Efke PL100 in the tray, I used 8'30" were now I use 7'45" for N and 9'15" for N+1.
I doubt that you can jump right to tube development of crucial negatives without interevening testing, but I think the 10% rule will produce a good test without exhaustive experimentation.
I know of no contraindication to rotary processing of TMX/TMY, except that very short development times are harder to control in the tubes.
Good luck