Does digital mastering/remastering "ruin" LP's?

I'm fairly new to the audio world, and looking at getting into vinyl. I've read, of course, of the benefits that analogue proponents cite, i.e. a more organic and natural sound, and about some of the downsides of CD's, i.e. a harsh or metallic presentation (at least for early digital). I know that companies like Telarc started recording in digital in the late 70's, and then did some sort of D/A conversion to press their LP's. I would imagine other labels did so through the mid-80's. I've noticed some 80's DG LP's that proclaim on the label that the recording was "digitally remastered".

So my question is this. If digitizing music introduces undesirable artifacts, has the music on such LP's been "ruined". That is, do these records sound like early 80's CD's? Or do they still sounds like analogue recordings (if so, why?). Just curious about this, and wondering if I should stay away from such records as I start to buy used LP's. Thanks!

John