You're not wrong but that system only works on a very small scale. Do you really think the authors would be amenable to answering 10000 emails with the exact same request?
In general, an averagely successful paper in most disciplines will get 200-250 readers. It’s only when there is outsized media attention that there is any issue.
And luckily, for those cases today, sci-hub is available.
And luckily, for those cases today, sci-hub is available.