I guess some things have to be experienced for real understanding. No, this is surely not a burden by any measure, it is a huge privilege.
In tech, fending recruiters off with a stick is far less of a burden and stress than being unemployed or permanently underemployed or underpaid in a different field. It's annoying, sure, but it's not going to cause you depression to have so many people showing interest in you, it validates some amount of self-worth. Recruiters also take an approach to recruitment very similarly to men in online dating, treating it as a numbers game and where they don't care about candidate quality before first contact. Blast out interest and feelers indiscriminately to anyone and then evaluate the quality of those who respond and be happy to settle for any commission in the end. Both are broken processes of course, but the power dynamics seem similar.
They might actually be related... "Human resources" people are overly female. Maybe they just apply their normal behavior and experience to work?
You could actually test your hypothesis,make yourself deliberately less desirable, then check the reactions and what that does to your self esteem.
Some anecdotal evidence from a female who wrote a book about it https://en.wikipedia.org/wiki/Self-Made_Man_(book)
Besides, as long as you get those few responses, that will be enough for all but the most active and adventurous daters. There are only so many hours in the day.