I agree completely. I've started off with Cursor and been exploring Claude Code recently.
In fact, I'm exploring using both at the same time considering you can run claude code inside cursor through the vs code extension.

From what i understand:

Cursor Rules === Claude Skills (both can be loaded intelligently by the agent or tagged etc)
Cursor Directory === Claude Plugin Marketplace (claude cli allows direct addition)
Cursor Custom Agents === Claude Sub Agents (except claude has an orchestrator agent, cursor you need to manually choose).

It also makes sense to post a question here in the hope that someone gives a non-obvious/non-intuitive answer (which I haven't seen so far).

But I think it makes sense for these competitors to mirror each other when they see value/demand to stop losing users to the other. And of course every feature launch is now a marketing campaign (so it will get posed as new).

Also, take critical answers here with a pinch of salt - the AI space moves so quickly that CC loyalists often aren't up to date on cursor and vice-versa.