Agreed. There may be some situations where I may want to ensure 100% correctness. I'm thinking life or death scenarios, (which if so, maybe should use a different protocol). However, checking the sports score or looking at cat memes isn't that.
When you visit an HTTP site, browsers give you a warning screen alongside an option to "open anyways".
We could do the same with sites that are not 100% correct. User are already used to having to click "Open anyways" for older, non HTTPS, sites anyways
There are also life and death scenarios where being able to show a broken page saves lives. Imagine there is a storm coming in your area and the government website listing addresses of emergency shelters is barely loading because it is overloaded or because your phone signal is bad. Being able to just load and show half of the page's html content is still better than nothing.