Here's my "field test", fresh from the basement. I think a soldering iron might work; a soldering gun may not get up to a high enough temperature (I haven't used one of those for years).
I used a "Hanau Torch", which is used by dentists for festooning dentures in the wax-up stage, as well as for silver-soldering small appliances (space maintainers, etc.).
Outcome: Soldering stainless cable ends is possible. I haven't done this, but maybe will start, since it looks nice and I have the torch.

Here's a short piece of stainless cable.



Paste flux applied.



Hanau Torch. This is an alcohol-fueled device with a hand-powered air jet through the flame.



The final product. I should have wiped off the residual flux.



Flux and silver solder suitable for home water plumbing.