Claims 2 and 4 don't apply to the way these algorithmic questions are usually administered at large companies, which is pure whiteboard coding where you can't run any of the code you're expected to write.
Whiteboard coding used to be common but I haven't run a whiteboard interview for over a decade. I don't know how many companies still do that, but it's definitely a bad idea. You want to see how well a candidate knows their tools, and they will be more comfortable working in an editor, so it's a win/win to do that. Also if you do coding interviews from home it's easier for candidates and they're in a more comfortable environment.
So yeah I'm sure some firms do this, but there are plenty of others that don't.
I think whiteboard interviews for coding definitively went away with the COVID pandemic - everyone uses some kind of live editor, usually requiring you to run the code as well.
So yeah I'm sure some firms do this, but there are plenty of others that don't.