Sutter has nothing but great memories of that arrangement - even flashing a smile when asked about Lowry's addition behind the bench.
For one of his pupils to take such an interest in coaching, to put in the time and work at it, especially on the 'relationship' side of the player-coach connection, he knew Lowry - or 'Pie' as he was known back then - was destined for great things.
"His leadership was really important in our locker-room," Sutter said. "At that time, the rules were that you could bring an injured player if it was approved by the league on the bench, so Pie was a logical choice and it helped him stay ready and helped me a lot, too.
"There are always players you know that have coaching qualities or could become great coaches, and Pie took that route ... He's a guy that, his work ethic, obviously, on the ice was noticed, and it was the same thing from the coaching staff's standpoint. He understands the game really well, is a good communicator - all the things that are necessary to be a good coach at this level.
"I've always been proud of David's accomplishments in that, because we did it together here."
Lowry made the transition into coaching immediately after that brief audition, joining the Calgary Hitmen as an assistant for the 2005-06 season, before working his way up and guiding the team to a franchise record 59 wins in 2008-09 as the point man.
He then spent the following three seasons an assistant coach with the Flames, before going back to the WHL as a head coach with the Victoria Royals, and then re-emerging with the LA Kings as an assistant in 2017.
Now in Winnipeg and plying his trade with the first-place Jets, Lowry is teaching his boy, Adam, who was in Grade 5 at the time of the storybook trot to Game 7, and is a graduate of Calgary's Bow Valley Flames minor hockey program.
What a ride.
It's incredible to think that when he looks across at home bench Friday, the spot where he first donned the suit will look entirely unchanged. Sutter and all.
However, much has.
"I've been really fortunate that I've worked with some really good people in the industry," Lowry said. "Not only are they friends, but they're valuable resources.
"We're all competitive, but we all want to get better and we all know that the only way to get better is to work together."