People *tend* not to think on a long enough time scale. But sometimes too long!
But seriously, I think it's entirely okay to respond with "Why?" and dig into the reasons. Find out more about how they see the mismatch. It probably isn't about you.
There's no such thing as a generic senior engineer, only individuals with very specific personality traits and experiences. A visionary game changer at company X can be an underperformer who never ships at company Y.
Sometimes you need an engineer who can crank out code. Sometimes you need one to write next to no code, as @whereistanya eloquently spoke about this year.
Business is cutthroat, and I never want to be responsible for someone losing health care.
If you can afford to embed, ask if they'll let you.