"It has never been regarded as useful for soldering and brazing" –
On the contrary, I would say..It is used extensively in industry, from soft soldering to silver soldering and brazing on all manner of items. Specially formed induction coils hug the workpiece which is preloaded with flux and the filler material, and heated/soldered/brazed in one go. A lot to be seem on the internet on that process.
The main issue is what material the workpiece consists of. Materials such as copper, aluminium, steel, stainless steel, HSS, etc, can all be done this was – Tungsten carbide inserts are brazed onto toll holders this was. However, the induction heater operating frequency and power varies hugely for the different materials, with plain magnetic steels being the easiest to heat, copper and aluminium the most difficult ( LOTS of power needed) and stainless somewhere in-between…
Joe