I'd like to corroborate one of the other anecdotal answers: my vertical is both extremely sensitive and noisy. It picks up all kinds of noise from my suburban neighborhood, even with my entire house powered off, that's totally absent on other antennas. It definitely has the worst SNR compared to my other antennas, at least in my situation.
A lot of this is going to depend on what kind of noise you're worried about. One other guy here is talking about QRN from Nyquist noise or something. I would love to have that problem! If you live anywhere even remotely urban, QRN definitely doesn't matter.
I'm still a new ham but my experience so far makes me skeptical of a lot of these electromagnetic theory reasons, like polarization, different kinds of fields, etc. The real world is too imperfect for a lot of those things to dominate.
In compromised locations, a vertical is a lot easier to get elevated, and as long as you do a reasonable job with the ground plane, it's easier to get a nicely resonant antenna. If you plot the direction from your neighbors' houses to your vertical, it's probably a pretty straight shot to most of the antenna, in a direction where it is near its highest gain. But with an inverted V near the ground, I think that's less likely to be true. Maybe if you had your horizontal dipole elevated to the ideal height, and oriented broadside to QRM sources, it would be just as noisy.
For the record, my end-fed random wire is even less noisy than the dipole, so it's not a matter of being balanced or anything.
One other thing: my vertical is carefully tuned with loading coils etc. But it seems to me that the resonant regions actually have worse SNR!