Since nobody has replied to my post here, I went ahead and asked Aria. The response was that the H.264/MP4 codec is not supported by Opera for Linux out of the box. Supposedly, the snap version of Opera has better support for this popular video codec, but Opera does not offer that option for download on its website.
I cannot understand the reasoning behind why Opera is the only browser (AFAIK) that has this serious limitation. Opera is so good in so many other ways, so how could they have overlooked this? I've used Chrome, Chromium, Firefox, and Edge on my Linux system in the past and have never had any issues with YouTube.. But for some inexplicable reason, Opera cannot do it. I wish the Opera team would fix this issue, as being unable to watch some videos on YouTube is a major flaw in any web browser.