Poile has been with Nashville since 1997. He was with the Capitals for 15 years prior to that. He was given flexibility and the opportunity to look at the big picture. The fact he doesn't have to look over his shoulder definitely helps long term. The Erat for Forsberg trade should be a good example of this. Poile was able to look long term and be patient vs McPhee who was looking over his shoulder. Let's not make him look more amazing than he really is, even if he's damn amazing.
List of Nashville Predators seasons - Wikipedia
History of hockey trades by general manager David Poile - NHL Trade Tracker
Look at these lists. Poile being able to focus on the big picture and be patient is a huge part of his success. He does have some great trades, but if you pay attention, his moves are similar to Trelivings. Lots of meh trades, a few trades he lost and the occasional splash trade.
Brad as a young rookie GM to now has brought the team to the playoffs 2/4 seasons. He has never walked away from a season where he did not address team needs and in a situation where he has handcuffed the team long term in horrific ways. Brouwer and Hamonic are probably the biggest so far, but they're not horrid. They also on paper looked like good moves at the time. It's not his fault he was dealt a rough hand for this season and Bennett. He has resolved the complete mess that was our farm team. He unified the team playing styles as best as he could and then made sure the farm team wasn't dealing with idiotic travel schedules. He's made the NHL roster and farm talent pipeline respectable from the previous disaster it once was. He also fixed the Flames reputation of being ripped off in trades. He's broken the ownership buyout mandate, broken the Honda Centre Curse and the Buffalo curse, navigated around the Wideman effect... What else do people want? Treliving for sure ha made small steps towards making the overall org and system better. That's a guy I'd like to keep.
I'd be fine turfing all sorts of other staff without hesitation though.