Unless the tap crosscut or partially cut into the original thread and chased the threads a bit wider, taps only cut to their specified size. Having a gross amount of side to side /up and down play may indicate the taps may bb cutting over the 1.375 diameter they are supposed to. Since your frame was tig welded and if done without significant heat saturation there should be minimal shell distortion. I am not a fan of park cutting tools and would only resort to using them when there is no other option. I do not know if park has shifted sourcing their cutters from Asia yet and if they have it would explain this. The other thing make sure you are tightening the bb to the proper foot pounds and then maybe more. If the threads hold you are good.
Paul