First of all, this is just Steve Simmons, creator of the Phil Kessel hot dog story, speculating.
Given that many have speculated that an Ohtani deal would pretty much pay for itself, I'm not sure that it would have any impact on what Rogers does about the NHL deal.
Rogers almost certainly has an exclusive time period to renegotiate the NHL deal. I wonder i
f during that time, they could form a coalition with Bell to effectively renew the current deal but with the content being split with Bell. Basically, the idea being that Rogers and Bell could team up to keep out any streamers by settling it during Rogers' exclusive window.
Under such a deal, Rogers/Bell could split national nights and also split non-Canadian games similar to the way they currently split non-Raptors NBA games. Also, assuming that the out-of-market streaming rights would be co-owned, they may be able to combine those rights with their local streaming rights to create a streaming service that offers every single NHL game.
In any event, the current Rogers deal ends after the 2025-26 season. And based on the fact that the current deal which started with the 2014-15 season was announced in November 2013, I wouldn't expect to hear much until Fall of 2025.