Thank you for the link jt.
I learned that following an engine failure at Vmcg the aircraft is permitted to deviate 30 ft from the centreline. But there is no mention of a failure at max crosswind limits. I will take your word that there will not necessarily be excessive deviation to centreline tracking above V1.
Why would you want to fly with rudder in during the initial climb ? .. at least after the head patting, tummy rubbing antics appropriate to the rotation flare ..
Because in my experience unless you have it configured with zero aileron input (which requires correct rudder input ("dead leg dead engine") I find it impossible to maintain the desired heading (and hence track) with wings level. Wings level with insufficient rudder equals aileron and constant heading change. No I am not in the habit of using 5 degrees bank towards the live engine.