Even when peening is allowed, it describes it as "local plastic deformation", which it definitely sounds like what you are describing.
And it goes further to state that such peening "shall always be done after visual inspection", and be followed by MT as described futher in this paragraph. [ref. AWS D1.1:2004, 2.20.6.6(3)]
I had found a couple welders several years ago in our shop trying to hide porosity by beating their weld to death. There may be another reason they are working so hard to clean their welds. Most guys aren't going to spend the energy and time cleaning that good, I can almost guarantee it.
John Wright