On the plus side, our competitor's product didn't work at all. So I guess it's not all bad.
In this case, Catalina had worked fine, and upgrading to Monterey fixed the issue. So props to Apple for fixing the problem. However, at the same time, our app worked flawlessly in both Firefox and Chrome running on the same hardware. Granted, it's not as simple as pointing the finger at Safari. The issue was a combination of Safari's behaviour paired with less than perfect graphics drivers.
Although, this is just one example. Mobile Safari not supporting full screen APIs on iPhone, but supporting them on iPad is just, well, weird. Is that a conscious effort to cripple the web on iPhone, or could they just not figure out the UX?