It’s not obvious either way however I tend to think that if he really didn’t want it then he wouldn’t be doing it atall and would probably have left with Kettlewell.
I suspect that timing is the factor here. Frail has only had one game so far - against Celtic which inevitability ended in defeat so he can’t really be judged on that. If we win on Saturday and pick up something at Tannadice the following week then it’ll be easier for them to sell the appointment of Frail to the fans just like they did with Kettlewell and Hammell before him.
If you think back Hammell got the job on a ‘temporary’ basis, we beat St.Mirren and he was given the job on a permanent basis a few days later.
Same with Kettlewell, placed on interim charge, won two games against St.Mirren and Hearts and officially appointed within days.
I don’t see things being any different this time around and Stephen Frail is three, maybe four points away from a permanent appointment imo.