Record videos with screen recorder?

Is it allowed to record videos from a website with a screen recorder?

Does the website notice that you are doing this?

It is not about films like those from Netflix & Co, but simple videos, e.g. Tutorials, which can be seen e.g. On a website (also for a fee with subscription).

Recording for private purposes is ok

Ok, but does the website notice that you are doing this?

I do not think so.

The website does not notice that you are filming your screen.