I think if you write a sentence that's highly dependent on the reader paying careful attention to where an easy-to-miss comma is, you assume all readers know what Oxford commas are, and the sentence generates a lot of discussion about how it can be misinterpreted, it's just a bad sentence. I think instead of debating about Oxford commas as a band aid, you should restructure the sentence so most people will understand it first time without having to think too hard.
This feels similar to overly clever code which goes against the principle of least surprise that shouldn't pass code review.
“The next day, I enjoyed pan-roasted oysters with a tomato sauce over rice and broccoli salad, followed by bread pudding with chocolate sauce.”
Edit: Fair point that the dessert is clear now but not the main. Either way, I'd prefer restructuring the sentence to make it clearer where practical e.g. adding in a few extra words like "with a side of", "dessert", "followed by".