Yes and no. But you got the gist of it.
The PN indeed doesn't stand a chance. PLAN and IN won't fight much due to geography and other limited capabilities.
And the USN is yet to get new generation ships and new generation missiles. They are still stuck with old gear which they are modernising the best they can. Like how they are still stuck with Super Hornets and the Aim-120.
PLAN's modernisation is better than USN's right now. But IN was able to secure new technologies because they had to start from scratch, unlike PLAN and USN.
Outdated doesn't mean obsolete. Just old. Everybody's tech will work as advertised. It's just that the PN is completely out of its league.
Hence, yes and no.
After claiming Indian Rafales are better than F-22 raptor!! The legendary troll claims Indian Navy is better than US Navy!!!.