The ones I've used are less granular than gas (which is essentially continuous) and latency is similar. From what I've seen europe is still way ahead on induction offerings, but it seems to be getting better.
I'd probably lean towards induction these days because the particulates from gas are obviously a problem and not easily dealt with - but I won't pretend induction is a 100% drop in replacement/improvement.
Just checked Lowes. Cheapest induction range, $999. Four gas options are $499 or lower, four resistive electrics $499 or lower.
However, I find that gas has no granularity at the lowest settings. Induction has like 4 or 5 settings below the minimum setting of gas. This is really great for melting or softening things.
Maybe this is different on a professional gas stove, but I've never used one of those.
Induction is way better for control and latency than gas.
The only issue is if you need to genuinely ignite something (like in wok cooking--but, then, get a blowtorch--if it's good enough for J. Kenji Lopez-Alt it's good enough for you).
One real problem is that the standalone induction burners are only 110V in the US and that hamstrings them dramatically. Induction cooktops, however, do not suffer from that issue as they will be wired into 208/220V.