BBQ, sitting in a hot-tub, and drinking Bud Lite are not activities officially sanctioned and encouraged by OL.
Reports are that all occur to some degree anyway. It's one of those OL crapshoots, for which the policy is not cystalized. You have to take your own grill, and take your chances.
I fail to see how that is safer than officially-sanctioned gas grills, strategically located, say next to the strategically placed hot tubs.
Many here have offered up that they like to BBQ while on vacation. A few do not, but they seem to be a vocal, well-placed few. I have asked OL management about grills a few times. Their response has been that that is something they will consider if enough express an interest.
We have been on five OL sales presentations, the first one nearly 20 years ago. All but the last one were civil.