I have a Variac that's rated for 250V, 1.6KVA. I wanted to measure the no-load current so I carefully wired my ammeter in series. When I powered it up, LIGHT came out of my meter!!

There was no place for the light to come out, but it did anyway!

When I opened my meter, I couldn't see anything wrong.

I finally noticed that the 2A glass fuse now had a perfect mirror coating on the inside. I replaced the fuse and all was well.

So yes, I can confirm that a Variac can have a huge starting surge. The surge occurs because until the magnetic field is set up in the core, the only thing to limit the current is the resistance of the winding. Depending on where in the AC cycle you happen to hit the switch, you may or may not get a huge surge.
It just occurred to me that if you put a zero-crossing detector and AC switch on the front end, you might be able to avoid a surge completely. Has anyone thought about that?
Like Calambres and PKTKS, I wanted some lights for safety, so I added
two neons. One from hot to neutral, and one from hot to ground. The neon doesn't draw enough current to upset a GFCI. So if both lights are on, everything is as safe as possible. If either light is off, something has gone horribly wrong!
Ed