The TS350/TS360 shares certain ignition components with the 056 and 08S and would be worthwhile for that alone. Same goes for the TS510 and TS760 as would relate to 050's, 051's, and 075's/076's. Main differences between the chop saws and their chainsaw cousins are the filtration setups and no oil pumps on the chop saws. There are other differences of course, but those are the main ones. Lots of interchangeable parts from cranks and bearings right down to the older bakelite fuel and oil caps of the era that fit many of the older saws.
If the price is right, snag em all. Might be a good ignition in there somewhere for your 056.