That's always worked for me. Mention smoke, and they're on site within the hour.
Only had to call out the DNO once when <whistles innocently> I managed to blow the main fuse. As there was no smoke, I was told "within 3 hours". But they refused to take my number - why would they, after all I'm on site; but they did insist on getting the householder's number (which they checked against their records) - so of course they contacted the householder who was at work.
DNO said "our engineer attended but there was nobody there" - we replied "oh no he didn't". They did manage to get him to go back, and then it was "he's standing outside the front door" - "oh no he isn't !"
Yup, he was at the wrong address. It's one of those places where the address can be confusing if you omit part of it - like "5 Greenfield, Whitegate, Anytown"; he was stood outside 5 Whitegate.
I have never had to play with an electric welder (other than a hour or two training as a student) so I would assume the high current secondary is not earthed to avoid a direct burn-out of the welder's earth. Or is it?
So was it two metal objects linked via conduit/CPC, and the welder's clamp was on one and the electrode arcing to the other?
There are a number of possibilities.
There's a brand of oil filled welders (Pickhill Bantam*) that I recall as being popular with farmers - I recall we had one at a farm I worked on as a lad, and a friend's farm has one - which have bare windings sat in a metal box full of oil. Apparently, if mishandled badly enough, the windings can distort and touch the case or each other. Thinking back, I can recall doing some welding and finding the gate I was working on had a bit of a tingle to it - at least we were wearing rubber wellies ! No RCDs back then.
Some might have the secondary connected to the supply earth as a safety feature if there isn't considered sufficient isolation. Then if someone decides that a big metal table should be earthed (either as a safety feature or just because it's bolted to some structural steelwork) then you've an alternative path separate to the welder earth.
* Dunno why it was called Bantam - it certainly wasn't Bantam in weight, they're 'kin heavy b'stards.