My take on running:
In order to be better at running...you need to run more.
If you want to dead-lift more...you don't need to really dead-lift that much...the same w/ a lot of other lifts...I've noticed anyways.
The best 3mile I've ever ran was 19:30. Back in 2005. I was weak and never did anything remotely close to xfit or powerlifts/o-lifts. All bodybuilding routines.
My best 3mile since doing the above mentioned...20:50.
I remember back in the day I would just run and run...lol
Its the same with pullups...no exercsie will carry over to pullups...except doing pullups
"One must try everyday to expand one's limits."