While we are born with a certain mix of fast and slow twitch muscle, it has been shown that different activities can cause some muscle fiber type switching (I think I read up to 30% in one paper).
So running will induce the switch or more dominance of slow twitch, which doesn't have the same capacity for hypertrophy that fast twitch does.
That is the theory at least, how much this happens in real life?
I know most competitive BBers do not run for cardio to maintain mass.
I used to run A LOT, but now I am not allowed to, unless it is HIIT as sprinting will activate more fast twitch.