The 3 main problems with shortwave are 1) reception 2) content and 3) bandwidth.

1. Reception can be extremely lousy during the day, especially in cities, without a substantial antenna. But in more open areas and at night you can get quite a few stations from around the world as the signals bounce off the ionosphere for great distances. I'm not sure that the Sony locking circuitry (PLL Synthesis) is such a big factor. My little ICF-SW100 is much better for it, and nothing that size could do the same job without it, but my Sangean ATS 909 pulls in much more without.
2. Want to hear where all the holy rollers and religious and racist fanatics of all denominations live? They rule shortwave. You can also get the usual like DW, BBC Radio Canada, a variety of latin American and Cuban stations, China, Russia etc. There is some superb programming simply not available anywhere else except to alimited extent on CBC Overnight where they replay some shortwave, and on the internet. If you can receive internet signals you can get more shortwave stations more reliably than on a shortwave radio. I know nothing about these satellite/internet radios.
3. The sound is horrible. Ever listen to sideband for long? Donald Duck will sound like Olivier to you after a while.
On the other hand, if you are out in a remote area, shortwave is essential. I have always taken a little radio shack special with me on my trips. It has manual tuning, to consume minimal energy. is bulletproof and also a stereo fm section for when I'm laying over in town. It will pick up quite a few signals in most areas. When I was in Antarctica I used to catch the news twice a day and that's how I heard about the strikes in Argentina. I got out just ahead of the airport and most of the country shutting down. Without my shortwave I would have had to walk to Chile or something equally lousy. It also helps you feel you're in touch just a little when you're in the middle of nowhere.
But in the city, sw may need bigger rigs than I use or know anything about.