I prefer the screwcap and when traveling will often choose a wine precisely because it has a screwcap. For example:

1. Hotel hopping by car. I can drink half a bottle in one hotel, replace the cap, and finish the bottle in another hotel.

2. Flying with carry-on luggage only. I don't enjoy having to replace my double-hinge corkscrews at $8-10 a pop when I forget to remove it from my carry-on bag and TSA decide to keep it for themselves.

3. White wines. A screwcap makes it easier to stick the open bottle back in the fridge to keep cool. Smaller refrigerators may not be able to accept a bottle vertically, so the screwcap allows you to lay it on its side without worry of leakage.

The quality control of screwcap wines is so much higher at the point of sale. The questionable ability to cellar screwcap wines is probably the only non-sentimental reason why natural cork should still have a place. Otherwise, I wish all wines were screwcap-enclosed.