Seems clear
The procedure as worded definitely restricts the climb on r330 to 1250 with no turn until 5nm, then a left turn and further climb.
1250 or 5DME is the turning point back to the VOR
That is not correct, as the procedure specifically calls for no turn before 5nm.
Same at KTEB, climbing too soon brings you right into arrival traffic at La Guardia. Why the limit here? Don't know.... But it is there.....
I certainly agree that 500 feet of clearance at 5 nm is not exactly comfortable....