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I’ve heard that the more HP a user holds, the higher the chances their posts will appear on the front page, gaining visibility with other users. On top of that, I’ve been unable to publish several of my articles due to insufficient HP.

I don't think the amount of HP you hold has any influence on the visibility of your post. Also, if you run into RC problems, you can just buy and power up a few Hive or get someone to delegate resource credit to you. Asking for HP to be delegated is a long call. It's not impossible though.

A friend once delegated 30 HP to me years ago when I was publishing through a now-forgotten account, and my revenue skyrocketed shortly after. It might have been a mere coincidence, though.

It's a coincidence. I've been here since 2017 and I understand how things work to an extent.

With all due respect, 'I’ve been here for a while' isn’t enough for me to consider an opinion valid—especially when countless users are claiming otherwise.

Who are the countless users? Can you tag a few of them on here?
I've been here for a while and I understand how the algorithm works. If you believe the "countless claims", then find a way to power up. Why should another user reduce the visibility (since HP increases visibility) of their posts by delegating some of their HP to you?

You’re asking frivolous questions. So far, your only argument is, 'I’ve been here for a while.'

Users with several thousand HP wouldn’t even notice delegating a small amount. Besides, some users earn through delegation and voting.