No, the silver ions will fall out of the solution as the iron from the steel wool replace them, so you can later decant the used solution more safely, into the environment, leaving silver sludge in the plastic or Stainless Steel bucket.
You could also use electrolysis and simply plate the silver onto the sides of a stainless steel bucket.
I and others have made simple old 2 - 3 cell battery powered C or D ell plastic flash lights into electrolysis devices for cleaning gun bores, such as old, military surplus long guns, (you can only allow this to run 10-15 minutes before you start damaging the rifle bore) with a steel or brass rod insulated from the barrel walls, to act as the Cathode and the the barrel as Anode.
These work quite well, with an ammonia and distilled water solution, and should do the same in fixer.
To do it this way, take your battery unit, (see YouTube for directions in making and do no forget to makr the Positive and Negative connections) and connect the Cathode to the Stainless Steel bucket, (it should be Stainless no plain or galvanized) metal) filled with silver bearing fix, and suspend some steel wool in the fixer, dangling on a the Anode and no making direct contact with the bucket, so the metal ion exchanges can take place.
The Bulb in the flashlight will indicate if you've got a good current going.
Each batch should no take long and if you like, particularly with a three cell unit, you can use rechargeable Nihm batteries, or Ni-cads.
How you recharge the batteries, solar, wind or household power, is your business but the batteries, if new stock should last years, if used and recharged properly.
After quite a bit of fixer, trash prints and old silver based film ends and trashed rolls have been run through your unit, you should be able to tap on the outsides of the bucket and pop off pieces of the silver material for further processing or disposal.
Double check the above, especially the electrolysis device and connection set-up and if you're satisfied this is for you, enjoy.
P.S., anyone with such silver sludge or bits of plate are welcome to send it on to me.
Be Well, Be Safe,
Eli