Don't be so sure. This isn't a TUTT type low that stretches deep into the Caribbean or beyond that would necessarily shear the tropical low apart. This is one of those types of ULL's that can enhance outflow in the long run. I agree that early on, the southerly and eventually westerly flow the surface low will encounter won't help it, but there's no guarantee it's not going to bypass the ULL to the south. To me, chances are better that a wave emerges SW of the ULL than the energy being completely absorbed. If you look at the ECWMF, you can follow along the bump on the SW side of the Atlantic Ridge all the way through Sunday (see near Cuba/Hispanola). Look at the 1018 pressure line days #5 and #6 vs. #3 and #4.
http://weather.unisys.com/ecmwf/ecmwf_500p_4panel.html
Following the EU's logic, there's a 'blip' or 'blob' near South Florida early next week. It's not much, but it shows at least an impulse or shadow-of-its-former-self piece of energy getting in.
You can almost 'kind of' see a blip on the MRF day 8
http://weather.unisys.com/mrf/9panel/mr ... panel.html
And if you look at the 500mb MRF for Days 8 & 9, you can kind of make out an interruption in the windfields down there.
In any event, there's no "BIG THING" showing up on any of the medium range models, but there's a hint that something could be happening. In June, those hints are about all you've got to go by.
Steve