In furniture applications, the tambour is usually inserted from the back, with the tambour track curving out to the (rear) surface of the case in which the tambour runs.
Is the bottom of the cabinet in which the TV lives closed? If so, does it look like it's removable, or that there's a section at the back that will come out to allow the tambour to come out?
You can be pretty confident that there are no mechanical, electrical, or cable runs going into the area where the tambour runs. So if you can figure out how it was installed, and reverse that process, you should be able to get the tambour out of your way.
I just realized that statement was assuming a vertical tambour; if it's horizontal, the same princple should apply, but with the exit on the side of the cabinet toward which the tambour is running on the back side (that is, the same side toward which the front closes).
But I'm not familiar with RV tambour door practice. I suppose they could have used top and bottom tracks that screw in, in which case, I guess, they'd be removed by figuring out where the screws are; or a front exit, in which case you should see a removable piece of the cabinetry at the end of the tsmbour's track.
Question: you say the TV isn't close to coming out. Is the problem that the tambour won't open far enough (up or sideways, whichever)? If so, does the "grip" part of the tambour (thicker than the rest, the part you grab to open it) remove? There might be screws on the back side holding the grip to the tambour. If so, removing those might allow the tambour to slide further into its track, and out of your way. Just make sure you'll be able to retrieve it again; if it slides into a closed space, put masking tape on the tambour for a grip to pull it out again.
If all of this makes no sense whatsoever, it's because I'm speculating about what you're looking at. Pictures could help.
