She may say, 1/4 the price of electricity, more controllable, hob lasts much longer than induction before replacement required, etc, etc.
She may say that, but it is not really ¼ price, she did a demo when I asked her why she boiled water in electric kettle then poured it into the pan, gas hob rated at 5.5 kW kettle rated at 2.8 kW and the kettle was twice as fast as gas hob with same amount of water, so since you use 4 times as much gas to boil same amount of water works out same price.
Also did experiment with 3 kW induction hob and 2.8 kW kettle and near enough same time.
As to controllable can turn down induction enough to only melt chocolate, try that with gas and flame goes out, so not more controllable.
As to how long they last, well our first cooker was still OK after 30 years but we wanted induction and an oven which more control, being able to set heat at sides, back, or top with and without fan, closed door grilling etc, modern electric ovens are far more controllable to old electric ovens, plus less heat escapes, idea is to cook the food, not heat the kitchen, so we changed and now some 20 year old and no problems, unlikely to find one as old as a gas cooker as although came out in 1933 (Worlds Fair in Chicago) and started to be produced around 1970, they did not become popular until around 2000, so hard to find one over 20 years old, gas cookers go back to 1830's but North sea gas conversion was late 60's so no old gas cookers are used any more as will not run on North sea gas.
However main advantage of electric is safety, no open flame, no waste products in the kitchen, auto switch off after set time, or removal of the pan, the list goes on. Only problem is a wok on an electric is too heavy, so if you use a wok, then needs to be gas.
There is a limit how much one can tilt the pan with induction, but does not need a ground base any more, but does need to be a material which is attracted by a magnet. Stainless steel does not work as non magnetic, even if it is ferrous.
In the main people who want gas are comparing it with pre-induction hob electric, mothers house has a halogen hob due to worries about affecting her pace maker, it was changed 2 months after halogen hob fitted and it seems new pace makers not affected with induction hobs or mobile telephones, seems old ones did not comply with regulations it was the pace maker at fault not the hob.
However I can understand why no one likes them, it was so slow, and I used a Lidi induction hob sitting on top of the halogen hob which had the fuse removed so could not by accident be turned on. The old electric hob was not a patch on gas, but things have moved on.
Biggest problem with electric hobs is the touch controls, knobs are far better, but it seems most have silly touch controls.