The top ends are very similar with one another and do use the same breather setup. But, they have different heads and rocker arms. The geometry of the pushrods with the Twin Cam vs. the Evo are not the same. The Twin Cam has 2 cams. Each cam has 2 lobes ( one exh. and one Int. ) The single cam Evo motor has just one cam with 4 lobes ( 2 Int. and 2 exh. )
The single Cam Evo is also centered in the motor, gear driven by the Pinion shaft.
The Twin Cam motor has 2 cams that are offset to the Pinion shaft but are still driven off the shaft via chain ( H-D ) or gear ( S&S )
Because of the difference in the location of the cams, you end up with longer pushrods with the Evo and a different geometrical angle into the heads.
As far as the oiling goes, the Twin Cam motor uses an internal Gerotor oil pump driven off the Pinion shaft and sends the oil up threw the pushrods to the top end. The Evo style motor uses and external style pump that is also driven off the Pinion shaft via gears and also sends oil threw the pushrods to the top end.