There was people doing extreme rep amounts of bodyweight exercises at one point on that logic and writing articles about it, and to test how viable some of the examples were, I for a short period of time (few weeks) aimed for 1000+ bodyweight squats a day. It was brutal. It was possible (with the caveat that it was possible because I was young and was squatting 180kg+ for reps at the time). It took doing sets of 40-100 or so whenever I had a time. I squatted in the meeting room at work. I squatted everywhere.
It seemed to work to an extent (did it too short to get a meaningful idea of long term impact). The main caveat to me that made me go back to my 5 set x 5 rep of heavy weights was simply that it took way too much time.
But a less extreme variant, such as what you describe is absolutely worth considering for people, especially if the realistic alternative is doing nothing instead.