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Number of flutes is not the issue. A 3 flute tool cuts at the same speed as a 2 flute tool. It just takes a shallower cut, all else being equal.The shaper turned at too slow of rpms for the 2 flute router bits
The reason shapers spin slower, is that they use larger diameter tool, which give faster cutting speeds at the cutting edge.
Wood needs to be cut at a minimum speed to get a clean cut. Too slow, and the bit grabs the wood and tears it apart, instead of cleanly slicing it.
This is why router bits don't work well in a shaper. They would work best with large diameter cutters, at a minimum of 8,000-10,000 rpm.
If that thing only has a 1/2" arbor, you should be able to use 3/4" bore cutters.
It looks like these comes with a 1/2" spacer or bushing.
https://www.toolstoday.com/shaper-cutters/carbide-tipped-raised-panel-shaper-cutters.html?bore=107