The original patent for the electrolytic concentrated sulfuric cell we all use, US patent # 2,185,858, says that, besides Au and Ag, it can be used to strip Pd from Cu. The only difference in the one we use and the one in the patent is the strength of the sulfuric. Our baths are about 92% sulfuric and they don't attack the copper (I used tech. grade H2SO4 - about 96-97% - and added 5% water, to make it strip faster - measure out the water and add the H2SO4 to the water). The one in the patent says the specific gravity can be can be as low as 1.65, which is only about 73% sulfuric. In my experience, that will attack copper, especially when the temperature exceeds 37C.
It strips gold pretty fast. I have never tried it with silver or Pt. Au works good because,as you strip, the Au form a powder and falls to the bottom - no gold dissolves. I used the same 50 gallon stripping bath, daily, for a year or two before I had to make up a new bath. I just siphoned it off and harvested the gold every 3 weeks, or so, and reused the solution over and over.
I've never used it for Pd or Ag, so I don't know what happens. My guess, especially with the silver, is that it will dissolve until it is saturated. Nearly concentrated sulfuric, very hot, in a cast iron vessel, has been commonly used in the mining industry, for many years, to part the Ag from the Au in hi-Ag dore'.
I have no idea what would happen with the Pd. I know it would strip but getting it out of the H2SO4 could be a problem. You might try adding about 2-3%, by volume, HCl to the sulfuric. It would be fumey for a day or so. I have played around with Au, using the HCl, and it seemed to work fine. I don't think any of the Au dissolved as HAuCl4. The reason I suggest the HCl addition is that it may block the Ag from dissolving, due to formation of Ag Cl.
I do believe I could mess around and figure out how to get the Pd out of solution. The obvious problem is how to automate moving that wire through the solution. Maybe with the reel of wire, with a slight drag on it, on one end, and a take up reel on the other end. Probably need a rinse or 2 after stripping.
If you want to play with this, there are 2700 hits if you search for - sulfuric cell. I also tried - sulfuric cell .jpg and got about 80 hits. That brought up a few photos. Also search for - sulfuric stripper. If this interests you, let me know and I'll give you some pointers on experimenting with this.
Just thinking out loud.