Force on the log is area of piston x pressure, usually measured in tons. 4 1/2" bore is 15.9 sq in and if the pump were putting out 2000# you would have a little over 15 tons. Looking at catalogs, that would be on the low end of the list for pressure. Would need a very sharp blade and minimum friction in the sliding mechanism for stubborn logs.
On rate, 8 gpm roughly for a 30 hp utility tractor. Volume in cylinder is 15.9 x 48 = 763 cu in. A gallon is 231 cu in or you have about 3.3 gallons. With an 8 gallon per minute pump that would be about 2 1/2 strokes....1 out, 1 back, plus 1/2 back out per minute.
Agree it would be pretty slow and things like water elm would be a problem.
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