[sammyg2]

Sounds like those points were written by a headhunter. Lowest form of life on the planet. They make used car salesmen and personal injury lawyers look honest and ethical.

BTW, if you take a counter-offer the headhunter doesn't get paid.
Gee, I wonder why they wouldn't like counter-offers?

If it's good take it. There is no loyalty in business, it's business.
If your company could or would replace you after accepting a counter-offer, then either they're spiteful pettly people or you are over-compensated compared to your contribution to the company. if they can get someone else to do the same work as well but cheaper, then it's time to move on.
If they can't, then they'd be shooting themselves in the foot and most businessmen don't do stoopid things like that. They have a business to run and their objective is to run it well and they need to best talent they can get, as long as it isn't over-priced.

I would have no problem considering or accepting a counter-offer, although I would never solicit one. that'd be a no-no in my book.