This claim doesn't really pass the smell test for me. My induction burner gets plenty hot really fast, much warmer than I could ever practically use while cooking, even. After a quick search I was not able to find any data supporting the claim either - the only data I was able to find seemed to support induction peaking out at significantly higher temperatures than gas.
Do you have any data on gas vs induction- max temperatures?
An induction burner will be limited to about 1.5 kW if it's a portable unit and maybe 2.5 kW on a built-in range.
A gas range will usually have a high rating of 15-20,000 BTU/h which works out to ~4.5-6 kW.
But thermal transfer efficiency is different, they both depend on the size of the pan, the material, shape, etc.
Stick a needle into a 3000F flame and it will be red hot in a second. A thin smallish pan can get super hot. You can't just have a "max temp" rating. However induction ranges will have some thermal protection for their insides.
If you spill something, the flames will also burn what you spilled.
Still, I try to avoid any of it! I have an induction stove, but now do things like skin-on salmon in the air fryer because it produces basically no smoke, whereas it used to smoke my house out when I did it on the frypan. Requires a lot less supervision than to stop it burning in the pan too, which is nice (but perhaps I was always just doing it on too hot a pan)...