@foxdeimos
I posted the same question on the /r/operabrowser subreddit and received the following answer, which fixed my issues with sharing:
You can try disabling hardware acceleration at opera://settings/system.
Or, you can play with the opera://flags/#use-angle flag.
For me specifically, changing the #use-angle flag from Default to D3D9 OR OpenGL fixed the issues I was having, but it may not be the same for you.