However, asking this from major music companies may be a stretch. The first question that comes to mind is, is it actually legal to do so? It is, but only if you're downloading music that's not copyrighted otherwise, you will need permission.
While not terribly common, it is certainly not unknown for tracks or even entire back catalogues of artists to disappear from individual services - this is simply not an issue if you have downloaded the tracks you love. The beauty of downloading music is that you have it available offline without the need to pay a monthly fee, and you can easily transfer files between devices as you need to. With a free music downloader, you're in control, and that's what's especially appealing for many people. If you're looking to reduce your monthly outgoings, there are plenty of free tools and apps that can be used to get your fill of music.
There are other ways to get your music fix, especially if you'd like it to be free.