I have never come across a problem with the tension of a newly tied on warp. I just tie on, wind then weave…. No problem! (this warp was 12m approx)
I know weavers who would rather re-heddle, re-reed, etc than simply tie on.
You can see from these images, tension was never a problem. See how accurate my knots are? ( can you tell I enjoy the simple things in life?! )