Every minute counts. So yes, if within limits I take the tailwind. Even in our little Citation a straight-in approach can save as much oil as I need to heat our house a couple of months (if I would heat with oil). Would be pretty stupid to throw that away, wouldn't it?
And no, propellers and jets are just the same in that respect, only the numbers may be slightly different.
You must be careful when flying to frequent destinations where you are well known, howewer. At one of my destinations, they will always give us the windspeed as 9 knots, so that we can choose ourselves which runway to land on...
Even a long runway can get pretty short when you land with xx knots from behind
