Apparently some people are experiencing issues with the Xbox version of the game if updating their Digital copies to Series S/X, with it crashing on Start-Up (reminiscent of Call of Duty Black Ops Cold War last year).
Temporary fix according to Windows Central:
In our own testing, it seems you can "fix" this by uninstalling the next-gen "upgrade" patch and reverting back to the Xbox One version of the game. To do this, press the hamburger (three-lines) button on your controller with Tony Hawk's Pro Skater 1+2 selected, then go to Manage game and add-ons. From here, select the upgrade patch and remove it. You may also need to uninstall the THPS1+2 "Xbox Series X|S" client, and re-download the other non-Xbox Series X|S client instead. This is a temporary work around while we wait to see if Activision fixes the Xbox Series S/X version, which is a separate client entirely.
https://www.windowscentral.com/tony-haw ... t-delivery