> Agreed; if you’ve accepted a job offer, reneging on that deal because your current employer made you a better offer isn’t a great look. It’ll be remembered by the hiring company and the individual who made the offer, and that can follow you around for a long time, making future job searches a lot harder.

I disagree. I've personally hired people who previously did this exact back and forth dance of getting an offer, then rejecting it because their current employer made them a better off. If a company is petty enough to hold it against you when you act in your best interests, you probably don't want to work there.