Not a lawyer but the de facto law has always appeared to only care about uploading.

Torrenting gets you in trouble because uploading at least a little bit is inherent to how it (and some other P2P) is supposed to work, and that's enough for a case.

Cases against people just downloading have always appeared to be very rare/non-existent, at least from when I used to follow the news on this stuff more. I don't think I've ever seen a case of someone threatened for solely downloading off direct download services, for example.