In general it's extremely unlikely unless you are engaging in "high risk behavior," but at the scale of an ISP there are enough users doing that kind of thing (Twitch streaming, etc) that it becomes an appreciable frustration for your network operations.
This sounds like the sort of thing with similar prevalence to things like running a Tor node. This might even be an example the other way, when your game server or what have you has thousands of peer connections and this thing breaks it by misinterprets that as a denial of service too.
If they say they have no idea what you're talking about, you get to tell them they're infected, so they actually fix it instead of typing their bank password into the infected box the next week because you automatically removed the "huh, internet's slow" that might have led them to investigate it otherwise.
I suspect the concern is not that ordinary users would be targets, but that ordinary users would be sources of ddoses (by being part of botnet)