I can honestly say I never saw a wrestler won the toss, lose the match. I'm sure it's happened, but rarely. So, I say drop the tiebreaker and just have the overtime period with no time limit. No one can argue the point that our greatest wrestlers have always displayed superiority on their feet. Thus, he that scores the takedown would win.
Conditioning is another important component of wrestling.
Sooner or later the better conditioned contestant will prevail. Whether it be by a takedown or by his opponent being penalized for stalling due to fatique, the wrestler with superior physical training will come out on top. Yes,, but let me tell you as a veteran official, it is much easier to recognize stalling in the neutral position . . I feel it is highly unlikely. First of all, most overtime matches rarely reach two minutes.