I will likely have an unpopular view on this but after watching a lot of Bedard I see no impact on his short term prices but serious impact on his long term prices.
To start I'll base it on the fact he's being mentioned in a tier of McDavid, Crosby, Matthews.
I don't see him as that type of player unfortunately. He is on the smaller side and although Crosby is also smaller, he is a freak in nature when it comes to lower body strength which Bedard is not. It may take a couple of years but I can't see Bedard sticking at center long term. Especially in the playoffs when the game gets exponentially more physical and much tighter.
To me the long term future of Bedard is on the wing. To me his best comparables as a player are Gaudreau and Marner. Guys who can control the puck and make spectacular plays but on the wing position. I think Bedard is the best scorer of those guys and can see him getting 40 goals and maybe even touching 50 which is impressive.
At his peak I can see 100-110 points a year from Bedard. Certainly fantastic numbers but not much higher than what Mitch Marner regularly does. Again the caveat with more goals than Marner scores. However Mitch Marner is not in the startusphere of Auston Matthews let alone Crosby and McDavid in terms of card prices.
Because of all these reasons I would feel very confident that Bedard cards will be worth less 5 and 10 years from now then they will in year 1. McDavid will still rule for a long time and if Bedard is just a Marner level player which I suspect and granted that is very, very good, someone else will come along and his cards won't be as desired.
Also a lot of the drive up in preorder wax has to do with the fact a lot of prospectors from other sports are in on the Bedard craze. Collectors in other sports have a lot less patience and you see prices tank pretty quickly in a few years in other sports when the guys don't get to the top spot and I don't see Bedard surpassing McDavid anytime in the next 5 years if not longer.