It depends a lot on how the stereotypes have been used historically, and whether they were used against a group that is still oppressed today. For example, there's nothing inherently wrong with eating watermelon, but so many racists over the past couple of centuries have used it to insult African Americans (which is a baffling insult in itself), that the stereotype became so strongly connected to racist views that even a silly use of it is still rightfully suspicious.
In contrast, I don't know of any similar situation going on with the French, so there's much less danger of fairly neutral stereotypes being offensive. I suppose it could be annoying if someone was French and kept running into French people always being represented that way, but I'm not aware of any big ongoing anti-French discrimination that might take it past annoying into the realm of offensive.
So I like old music. You have to watch out because some of it is pretty racist... But have you ever heard of Polk Miller & the Old South Quartette? Polk was a Confederate veteran and the OSQ, at least two of them, were freedmen. (Their names weren't published because it was dangerous to doxx somebody back in the 1900s.)
Anyway, in 1908-ish they got a contract with Thomas Edison to make phonograph records, which they did. In 1909 they made the first interracial record, "The Bonnie Blue Flag," a Confederate marching song. They did cut one record in 1910 that fits the discussion pretty well: it's called "Watermelon Party." Miller did not sing on that one, only the O.S.Q. (Miller may have been playing the guitar.) Racist slurs? yep. Black people & watermelons? yep. Actually racist? No, actually not. It's people having a really good time. Cancel culture would go too far by erasing them.
I have that one on four-minute cylinder for my phonograph but the record is available on YouTube or the UCSB cylinder archive to listen for free.
As far as the reason black people & watermelons became associated: it was cheap to grow them. They're really easy to grow, and they were considered slave food, like raccoons (which led to another racial slur.) Anyway, same goes with chicken: it's pretty easy to raise chickens and it used to be pretty easy to steal them too, out of an open hen house or out of a bush they would sleep in. People would incorporate bits of this into the old minstrel shows, which were packaging black life for white consumption even during the days of slavery (got to make everybody feel good about it--like Beyonce does with her feminist views, while her sweatshop laborers can't afford to live decently.)
We are no better than people were back then, as a culture, and I say in some regards we may be worse, even if we have made great advancements in other areas of social life.
The whole thing is pretty complex, which is why I turn, personally, to Catholicism.
Love thy neighbor, and
In Christ there is no Jew or Greek, male or female, slave or free is a lot easier to keep up with than the willful offensiveness of the MAGA crowd, and the ideological colonialism of the American left. Forget Right and Left, I wish we would go back to right and wrong.
And for sure I wouldn't eat those onion rings.