You said a bass cab could cause problems if it went down to 30 Hz. I'm saying it causes problems even if it only goes down to 60.
We are talking about bass cabs, and one of the unavoidable issues with them is, if you're going through a cabinet AND a PA, you have multiple sources of low frequency energy. As you move around in the audience, the sound at low frequencies will vary a lot, because of constructive and destructive interference - a wavelength at 60 Hz is 18 feet long - if you walk around the audience very half wavelength (9 feet) you'll go from a maximum to a minimum - at that frequency, your sound is going up and down a lot. Every frequency has its own wavelength, so every where you have ups and downs all over the place.
If you remove one of the sources (the PA or the bass cabinet) this situation gets better - not infinitely better, as there are still standing waves if you're inside, but the gist of this is, if you want your bass to sound good in the audience, using a bass cabinet OR a PA (but NOT both) will help considerably. Whether the cabinet goes down to 60 Hz, 50 Hz, 40 Hz, or 30 Hz, the same general rules apply.