Ultimately, I think they move him --- probably in the off-season. I just keep getting a feeling that Strome/Georgiev could end up in a deal together like Stepan/Raanta.
I think there are a number of factors that will come into play: Chytil taking the next steps, Zibanejad being healthy and having established he's the real deal, and the fact that Strome's contact, even at a reasonable rate, might be needed to re-up ADA and/or bring in a support piece that isn't a center.
Obviously, my hope is that he drives up his value as high as possible and helps the Rangers as long as he's here. I also don't consider it be an automatic no-brainer to move him. But when push comes to shove, I think the above factors probably lead to a move.