better simmer control: even a lot of expensive gas stoves have fairly bad simmer
repairability: I regrettably own a fancy Thermador stove that is hard to repair — extracting the crappy ignition units requires a special tool that has been discontinued.
If you want excellent temperature control, get a Breville Control Freak. It outperforms everything else (generally by far), it’s offensively expensive at $1500, and it’s also cheap at $1500 if you think of it as the best stove that just happens to have only one burner.
You’ll also discover that 1800W (~6100 BTU/hr) is about right for most purposes with pans up to 12-14" at near 100% efficiency. You do not want 15000 BTU/hr delivered to your pan for any purpose other than boiling water or maybe reducing a big stock if you are stirring actively.
Wok afficionados may differ with you here. I get by on 10k BTU/hr.
Typically you also get: more BTUs, better simmer control, easier repairability (due to construction design).
I'm not arguing it's worth the money (which is why I got my $15k stove from craigslist for $2k :)