I'm not sure exactly what the deal is with this particular articulation agreement with Ross is, but I as for the other vet schools, I don't think it's as simple as you think it might be. To my knowledge, I don't think there's any other program (at least stateside) where it's like any undergraduate student at large from a a particular college has an automatic acceptance by meeting certain GPA/pre-req requirements. There are some however, where you get admitted into a special UG program from high school (usually just a few students) and you're guaranteed admission into that particular vet school upon graduation from that UG program. I'm pretty sure some schools also have an early admit program that lets you apply earlier in your UG career, and guarantees a spot for you but lets you finish your UG degree.
As for this Ross program, unless one of the UG schools is one that you want to go to anyway (and you've talked to Ross officials and know exactly what the expectations are), I would not do it. It guarantees you admission into a vet school that already has a really high admission rate, so I'm not sure you're really helping yourself all that much. And not only that, Ross is pretty expensive and the Caribbean education style is not for everyone. Unless you're sure you want to go to Ross for vet school (and 4 years is a long time away at your age), I don't see why you should limit yourself by only focusing on that one school. On the flip side, if you know you want to go to one of the UG schools listed in the articulation agreement anyway regardless of its affiliation with Ross, I don't see any harm. You can still apply to any other vet school. Just make sure that those UG programs will give you everything you want out of your college experience (and opportunities as a pre-vet student).
One thing I will say though about any "pre-vet majors/programs" is to think about how that will look if all the sudden during your senior year of college if you decide you don't want to go to vet school. It most definitely doesn't look any more impressive to do a program specifically made for pre-vets when applying to vet school, but it might look a bit hairy to employers/grad schools outside of the veterinary world. It may/may not hurt you. Something to also think about.
P.S. When I read articulation agreement, I totally expected a question about knee/elbow joints and how you and some other people can't come to a consensus about what exactly is going on.