I was initially referring about the pipe diameter but the following explanation applies to the axial length of the pipe as well. For a 1/8" thick weld overlay that is applied uniformly over 304L stainless steel using Ni-rod 99, you should have some minor change in length dimension because the Ni-rod 99 has relatively comparable strength to the 304L (I would not believe 4”). Also, the weld shrinkage stresses will be balanced in the radial direction because the overlay is applied in a circumferential orientation, while a large part of the axial stresses from weld metal shrinkage will be absorbed by the Ni-rod 99 overlay and 304L substrate.
If you were to weld with an over-matching strength filler metal (ie, the weld metal strength is greater than the base metal strength) that is also much thicker you will have more measurable distortion in the axial direction.
How do I know this, because we have weld overlayed boiler tubes with no measurable change in the axial direction – Inconel cladding/carbon steel tube.