Jovidah
I'll make you a sponsor offer you can't refuse...
I picked up an Atlantis saucier and I do like it although the rivetless design makes me a little nervous
Admittedly he's a bit of a scrawny guy, but I think it's enough to show that you don't have to worry about it.
I've also seen gazillions of large heavy professional stockpots (from other brands) that also had welded handles. I wouldn't worry about it.
People who experienced welded handles coming off also seem to be incredibly rare; it's not something you hear very often.