The last of my raised number credit cards went away last month. Those old machines will only get a blank rectangle from me. Sad, because I did actually use one of those about 3 years ago when a rural gas station had power but no network.
Network is not required for mag-strip or emv operations, but the terminal has to be configured accordingly (and has to have some way to send batch of transactions for settling). It's less common now, but fully supported.