Speaking of that pile, I started compiling my estimations of where those guys finished on their teams TOI-wise. Moller actually comes out pretty nicely according to my estimations. In the case where guys played two roles during a year, whether it be due to injuries or mid-season acquisitions, I just credited them with the higher finish, when they played at least 40 games in said role. I also left out any year they didn't make it to 40 games.
Randy Moller:
815GP; 78 playoff games
R-ON: 1.01
R-OFF: 1.04
36%, 0.94 TmPK+
1,2,2,2,3,3,3,4,4,6 TOI ranks
Bob Lorimer:
529G; 49 playoff games; x2 SC winner
R-ON 1.03 R-OFF 0.92
SH% 46%, TmPK+ 1.06
2,2,2,3,3,5,5,5
Gary Doak:
735GP; 78 playoff games; x1 SC (8GP)
R-ON 1.25 R-OFF 1.31
SH% 23%, TmPK+ 0.97
3,3,3,4,4,4,4,5,5,5,5,6
Tom Laidlaw:
705GP; 69 playoff games
R-ON 0.92 R-OFF 1.05
52% SH%, TmPK+ 0.97
2,2,3,3,3,4,4,4,4,5
Gerald Diduck:
932GP; 114 playoff games
R-ON: 1.09
R-OFF: 1.02
33%, 1.06TmPK+
2,2,2,3,4,5,5,6,6
Gary Nylund:
608GP; 24 playoff games
R-ON: .77
R-OFF: .87
43%, 1.13TmPK+
1,1,2,2,3,3,4,6
Tim Watters:
741GP; 82 playoff games
R-ON: 1.01
R-OFF: 0.95
40%, 1.02TmPK+
2,2,3,4,4,4,5,5,6
Rob Scuderi:
455GP; 61GP; x1 SC win
R-ON: 1.03
R-OFF: 1.04
51%, 1.00TmPK+
3,3,3,3,4,4
And re: Nylund vs. Diduck,
I think the case can be made for Diduck because even though he didn't have as impressive TOI finishes as Nylund, he was playing on better teams. Nylund only made it into 24 playoff games to Diduck's 114. Also they were teammates for two years Diduck received the higher time on ice. In '89 Diduck averaged 23.071 minutes and Nylund averaged 16.773 minutes in 49 games with the Isles. The next year was much closer, but Diduck's 22.088 minutes just beat out Nylund's 21.666 minutes.