Tell the contractor to "Put up or Shut Up". 10% UT was not "chiseled in stone", it is a starting point. With a Reject rate of 60% of course the contractor is scared to have the remainder of his [pathetic] welds tested. And of course this outrageously high Reject rate justifies and requires increased inspection!
My favorite scheme of 'percentage testing' is what ASME B31.3 uses: Every welder's welds get tested, at an average rate of 5%. Any Reject requires two 'tracers' - testing of similar size welds, made during a similar time frame, by that same welder. If either of those tracers fail, two more tracers are taken [same method of selecting the welds]. If, out of those four 'tracer' tests two or more welds fail, then ALL that welder's welds are required to be either tested or completely cut out and replaced. Thus, the reason that your 'local contractor' is terrified to have any more welds tested. At a 60% Reject rate, I'd be scared too.
One of the most expensive things on a pie job are 'cheap' welders. Hire the best ones you can find, and don't allow them to have very many Rejects. Historically, the big [huge] contractors will allow one Repair per month and ZERO cut-outs* during the life of the job/contract.
*cut-out means a weld with sufficiently big or numerous defects that cutting it out instead of repairing the defect.