I’d guess that if your tweezers were not made of SS, you’d not get very long use of them. Standard spring steel (which is also difficult to solder, unless it is plated) would probably break off at the tip.
Yes it is perfectly possible to solder to SS, bear in mind no SS is real 100% SS anyway, so ALL SS will attract a magnet as it contains IRON, to massively varying degrees, but is is easy to solder to it.
I checked nine different pairs of tweezers. All said “stainless steel”, and a magnet stuck to all of them.
People confuse “stainless” with “rustproof”. You can toss stainless in the ocean, and it will be eaten away. I have some folders made with French surgical steel that could have went down with the Titanic, and would look exactly the same.
Most people can probably get solder to stick to stainless using acid fluxes and silver solder, but doing it right takes voodoo and black magic not to mention some REALLY nasty flux and exotic solder alloys.
There are many stainless steel alloys that are magnetic… well, actually they all are if you have a big enough magnet. Generally cheaper alloys are more magnetic. Hint… if your stainless item says “Pakistan”, it’s most likely a crappy alloy that will rust and attract magnets from halfway across the universe.