"It puts us on the back foot and when we score first, we usually go on to win comfortably".
However, Cowan, who spent six seasons with Aberdeen in the 1980s, is adamant Jack does not do enough for the Dons to have his exit lamented. That sums up how poor Rangers have been overall and too many poor performances have resulted in too many points being dropped.
I was at Ibrox on Wednesday night and it was easy to see that Aberdeen have been together for a few years and been getting better season on season.
"I have nothing to say but to move on from it because I don't want any more of a sideshow". That's always our ambition to win, this club needs to think like that all the time.
He said on BT Sport's Facebook Live: "I'm going to have a wild guess here, Rangers [will be his next club]". There was a bit of spirit but they lacked quality. But that is what they are.
"We'll try to get the win for the fans", he promised. We will look at players who are maybe on the cusp of suspension for next season, we will look at players who need minutes so it gives me options for the cup final.
Rangers boss Pedro Caixinha clashed with Aberdeen rival Derek McInnes last night, telling the Dons boss not to come to the door of his Ibrox office.
"There has been one or two things said that I have been disappointed with". What he has told me over the last couple of days is that it is his intention to move on. Obviously that was Danny's last game and David's last game for this season, so we will be able to change it for Sunday.
"If he thinks that doing brilliant at Rangers, by being on the up by finishing ahead of Aberdeen, then he is clearly mistaken".
"We have been waiting for an answer from Ryan to find out his future. We won up at their place but for them to come down here and win makes it even more disappointing".
Speaking at a Marathonbet Play On The Pitch event at old club Hibs, Cowan added: "He's been talked about for a Scotland call-up, but not for me".
"That is down to the hard work from the team and the management".
"Everyone has seen the job the manager has done here every season".