That question is probably good for another few pages of debate, but at the end of the Day, NO, the Jack is not a better antenna on either UHF or especially VHF. It's only advantage is that it's got a smaller footprint on the roof.
Anyone that tells you their Jack works better than a Batwing, has a broken Batwing.
Jeff - WA6EQU
'06 Itasca Meridian 34H, CAT C7/350