The inrush current will also be limited by any other resistances like: line filter choke, power cord, plug contacts, house wiring, circuit breaker...
The brief peak current will be less due to small inductance of wiring & mains filter, so all this adds up to probably ok.
& there is also the timing of switch on relative to the AC waveform & switch contact bounce.
My guess is if you did a bench test, had a low impedance 350V supply(not the mains supplied AC) & 4" of wiring I think something would go bang.
Under the right conditions It could be dangerous for the capacitors health in the long run, Electrolytic capacitiors should have a vent to expell any pressure, but if this happens the cap won't be too healthy.
Manufacturers implement inrush current limiting/protection for a good reason: To minimise unwanted stress on switches, connector contacts & of course the capacitors & to avoid blowing fast fuses & who knows if there is a fault in the Vent system of the capacitor it could blow up worst case.
Having said that If one was to try the same thing eg: 800uF & a higher voltage 415 --- 600V rectified mains then I think it could be quite likely.
Maybe you could ask bill the arc starter, he likes to blow things up
I blew the whole tip off my scope probe once, I think it was 40,000UF @ 60V, the biggest danger was me falling off my stool, it scared the sht outa me.
Tonig.au