What members are being fabricated and spliced? The nature of the loads should play a roll in determining whether RT is necessary. If the member is subject to bending, the member should probably be subject to RT. If the member is loaded in compress with minimal bending stresses, RT is probably not warranted.
This is something that should be considered when quoting the project. That's when these questions need to be asked and agreed to, not part way through the job.
The project specification stated no splices according to your post. So, there should be no surprise that the Owner is objecting to being notified splices are needed. The Owner is making sure the splices are sound. I completely understand the Owner's concerns and why the requirement for RT or UT is imposed.
Al