EF3 output stage with CCS drivers?

Reading up on different output stage topologies again, I've had this strange idea coming to my mind. On the EF3-topo, each driver transistor is connected to the opposing rail with a separate resistor, determining the idle current. What if I were to replace each resistor with a simple constant current source?
While the EF3 doesn't seem to be all that popular and widespread, I've never even seen an "EF3.5" anywhere. Is there anything severely wrong with it that didn't occur to me yet? Any thoughts / ideas / sources? I'd like to read up on any previous work, if there happens to be something published anywhere.

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