Is asking for money for your work begging? That's interesting take.
Assuming an actual journalist wrote the piece, and it's not some stitch together, half-slop, half-cognitive noise-ridden piece of crap, like, you know, about 80% of all content behind a paywall.
You're right, but I'd personally be okay with the paywalled article search results not showing up, since they are ads masquerading as usable search results.
If the publisher wants me to subscribe (and many do publish content worth paying for), they can reach me via normal means, versus corrupting my search results.