There is a longer Discussion, on this subject, at “Safari 14 on Big Sur: How to prevent a webpage from automatically reloading because it was using significant memory?“
It will all depend upon the way the “streaming” site has been programmed.
- Websites are not supposed to use large amounts of browser storage: they are supposed to use Server Side storage.
- Unfortunately, many websites have gotten increasingly lazy about using Browser memory.
Perhaps contributing to this problem are the following:
- Many streaming sites used to use Flash for such purposes, but with the demise of Flash (at the beginning of this year, even though they were forewarned three and a half years ago, they may be new to the idea of streaming directly to browsers using HTML5.
- There are some web-browsers that have very “relaxed” standards about the use of your computer resources: these browsers are well known resource “hogs”, but they may have contributed to websites being lazy in their use of browser resources. (Google Chrome is one well known resource “hog”.)
Have you, and others, provided Apple Feedback through their provided Feedback mechanisms? See Product Feedback - Apple.
If people don’t provide such Feedback, there is little chance that Apple will change anything.
I would provide my Feedback in the form of a Bug Report, on matters such as this.
In the meantime, there are a couple of things that have been found helpful:
- Access such web-pages through a browser window with only a single tab: this helps isolate the resource use.
- Other browsers, such as Google Chrome, don’t seem to have this issue. (Resource “hogs.)