The thing is, for Abridged Series, most of the work has been done for them already. It's all just editing and voice acting, which are significant chunks of the production process but it's certainly not equal to making a show from scratch. The thing about parody is that it's inherently derivative, and abridged series are even MORE than that because the use the actual show's footage. If you try to argue that an abridged series transcends the original, you can't overlook how utterly dependent the abridged series IS on the original.
Team Four Star are great comedy writers and voice actors, and I'm a huge fan of their work. But if they announced they were going to make their own completely original animated show, I'd be HUGELY skeptical of it. So much of their Abridged humor is based on things present in the original work that it'd be a pretty hefty void to fill if they tried to make a show from scratch. And I know they know this; it's why they constantly remind people how they are huge fans of Dragonball Z and have that hefty disclaimer on the front of their videos.
In short, no, I wouldn't say an abridged series could ever be "better" than the original since the whole abridging process (while still a lot of hard work) is much less involved than crafting an original work, and requires a significantly smaller talent pool.