I'm sure there will be flames so I may as well start with
1. 1br/2br, It's a balcony, the rules are clear but if you give people an inch, they will take a mile. Unfortunately there would be spills of meat juices and grease, trailing in and out of the kitchen. And though I'm sure you would clean up after yourselves, not everyone will! More clean up for housekeeping who already have more than they can handle.
2. And then guess what, you're in Florida, the bugs will come!
3. The studio balconies are way to small for sitting much less grilling.
Studios accomodate light food preparation. People over the years bring skillets, grills, crock pots but honestly, that's why the 1br / 2br villa kitchen was created. These cooking activites were not intended for a studio, that's why there's only a toaster, a coffee pot, a small microwave and a little refridgerator. Studios have no hot plate, no dishes, little sink capacity, etc.,. The cooking imagination of the owner has improved at the same rate as MS turns a blind eye to what some people choose to do in their studios/villas. But let there be one serious incident causing fire etc. and then guess what!
4. And, here it comes, I feel the heat.... All of this unintended, even disallowed activity, adds to the wear and tear of the villas, which we all pay for to refurbish.
5. As much as that contract says we're owners, it's not ours to do with what we want. We bought a span of time, not the walls, carpet etc. !
Some people and honestly I'm not pointing the finger at you, it's just a generalization, must always push the envelop. This is no different in my mind than stuffing 5 adults and 2 toddlers in a studio or smoking out on the balcony
It's not allowed, and just because you can and want to, doesn't mean you should. Rules aren't made to be broken!