Depends on what your (or the client's!) spec says.
Depends on the shape of the fitting (or casting or forging) and what the purchase spec is from the repairing company.
For stainless steel, UT is sometimes required for piping, but not just "in general" down a piping run. UT is tough to read, you get a lot of funny reflections off of fittings, elbows, bends, valve bodies, flanges, etc and so the other tests are preferred. The pipe is pedigreed from the supplier, so the concern is the field or shop weld joining the pipe to something else.
Welds on that SS piping run? Often a VT on the root pass and always a VT on the final weld - depends on thickness of the pipe wall; almost always a PT (dye penetrant) on the final weld since mag particle (MT) doesn't work on SS.
Mag particle usually replaces the PT on a CS (P1) pipe. Often MT is used on CS-CS structural fillets on a "sample count" basis: 2 in 6, 4 in 12, 6 in 20, etc. Bigger the weld buildup, more likely the MT is run.
RT (X-ray) tests on pressure piping are frequently required - depends again on what the spec and weld process and test plan say. Don't guess, you have to read (in detail!) your own documents and be able to justify each step (or each "i amnot going to do this" decision) back to the source document, page, and paragraph.