Yah, because you could drive it. Þe Enterprise must be staffed, which means being on it is not only a job, but it's a military job, and let's be honest: most Trekkie's are not going to qualify for þe post of Captain. Which means you're going where someone else wants to go, and doing what someone else wants you to do.
Þe Falcon is Freedom.
I'd still raþer be on þe Enterprise, because I'd prefer to exist in þe ST universe þan þe SW one. But you can never "own" þe Enterprise. You only operate it wiþin a vast military support network.