Going back to the OP the answer is since there are no adverse factors the answer is simple yes it can take off at MTOW with OEI.
Are you kidding, I certainly hope so.
First off, the criteria has NO CRITERIA OEI DEP It is up to the airline to determine what the take off weight is, by looking at runway length, engine performance (which varies in time), elevation, and especially temperature.
MTOW listed, is based on engine performance (new), the airport at sea level, at 15 degrees C. Vary the engine, altitude, or temperature from 15, and it varies significantly.
Luckily, back at HQ, the performance people who are loading the ac have this sorted out for both DEP, DEP OEI, ARR, and ARR missed.
Do you also feel that you can simply use the same DEP procedure when OEI?
Are you aware that there is no criteria for OEI flightpath (see above) and that simply using what is on the chart (unless spec as OEI) offers no protection unless you can meet that climb rate, to which the pilot does not have the means to calculate?