IF . . . that's a big if. What *really* gets the Enterprise is photon torpedoes, and I don't recall the Empire using those. The Enterprise was also really agile. In that video, it just sits there. Finally, that Death Star wasn't even finished yet. Scotty would know right where to hit to take out the shields.
Who would really win? I think the Enterprise would have the edge simply because the Death Star would have to rotate around to fire its big weapon at a moving Enterprise. All the Enterprise has to do is fly around zapping it while the Death Star keeps trying to turn into position.
Perhaps in space, but if the Enterprise tried to,be so agile on Earth, the forces generated could be enough to tear Earth apart.
Also, there’s a possibility that the Death Star’s shielding might have made it impossible to detect its capabilities, because nobody on the rebel side were able to detect its capabilities until it became too late.