My induction hob can be connected to 1 phase or 3 phase power, there's a dip switch on the back to switch it over. I'd imagine inside it changes the voltage and frequency to something completely different depending on what power level you set the burner to, so the actual supply voltage isn't that important.
A separate oven and hob usually means the oven isn't at knee height, which is much nicer. Decent apartments and houses in Europe have this, but so does my relative's million dollar house in the US.
dunno about the US but in india we use these. converted to US$, its like $18. they last about 2-5 years with good usage and if you are really unlucky with your spillovers and frayed cables, maybe less but other than that these things are reliable as fuck..
why do you have to buy thousands of dollars worth of equipment?
https://www.bestbuy.com/site/bosch-800-series-4-6-cu-ft-self...