As far as I can make out, they are indeed 32tpi, whatever the wire gauge used. 5/32" is about 5mm or 6G.
The important thing about spokes is that the threads are rolled, NOT cut. Rolling deforms the metal by raising it up and is therefore much stronger then cutting with a die which removes metal. The thread form is also different with rounded valleys and peaks.
If you have a problem, simply buy new spokes and nipples, they are not expensive: try Motor Wheel Services, who make their own.
I need one new short spoke but could only get a long one so was going to lengthen the thread and shorten the spoke to suit. Now I will change my plan and contact Motor Wheel Services for a short spoke