Hi there. I have been using a radio with similar specifications for about 10 years. It is probably a poorer cousin to the Tecsun. The same one (Grundig Eton) is now about US$75. The batteries last a long time and it pulls in stations from a surprising distance. In northern Australia I would regularly listen to broadcasts from as far afield as India, Indonesia, Russia and Japan.
I later bought a crank-up radio for weather prior to an ocean crossing. If there is a deficiency with the small radios, it is that the bands can get crowded and it can become difficult to isolate a station you want to hear unless it is booming in.
Many years ago, pre Grundig, I had a Kenwood short wave receiver on the boat. It was an expensive radio and required an external aerial, but it was exceptional. These units can still be bought second hand on eBay for less than $200. But unless you have a real need and are prepared to take power direct from your 12v battery bank, it may be overkill.
There is no doubt that SW is a good means of getting weather. We were just sailing north of Vancouver Island, British Columbia and the weather was dreadful. I missed receiving weather except for the occasional burst on 21b VHF from the Coast Guard.
With gale force wind warnings about, I could well have done with a good SW link.
"if at first you don't succeed....Redefine success"!