All the evidence is contrary to your belief that Hollywood is producing remakes at a greater rate today than most other points in its history.
And, to counter the point of remakes produced within ten years of the original being a new offense, I will point out that The Maltese Falcon
was made three
times in ten years (1931, 1936, 1941). Perhaps most important here is the consensus that the third version is the best.
I'd comment on your remark that "[in the past] movies were not released anywhere near the rate they are today," but I can't imagine the conversation would be a productive one.