Music’s kind of a bonus, really. If you really like the game’s music in general, it can’t hurt to link it. If it’s kinda bland, skipping it would be no problem. If nothing else, you can just post a few links of the best songs and skip the rest.
In the end, it’s whether you think adding the music to the LP would be worth the extra effort required to add it. Of course, once you have the music and a suitable host, the hard part is done and all you have to do is upload it and maybe keep track of URLs if you’re going to post the link multiple times (not that you have to, of course, but I usually post whatever song is playing at that moment of gameplay in my LPs and having a text file of the song names and URLs comes in handy for that).