135 deg split point drill will in fact work better than a standard 118 deg drill.
Also a parabolic drill 135 deg or 130 deg work very good. And can drill faster than a standard drill.
But if the head of the machine, drill press or mill, is not square to the table you will have a problem.
A check would be to place an indicator in the spindle and to tram the table. If the table is square to the spindle, the indicator will keep the same dial reading. If it dial changes as you tram in a circle, that is how much your drill will seem to walk. Because you would not really be drilling square to the table.
You will need to set up some kind of work holding to keep the part square to the spindle. (Assuming that the spindle to the table squarness can not be readily adjusted or fixed.)
I once had to drill .128 hole 6" through a part. The head of the VMC Mill was not square enough to make this work, using square to the table work holding. The holes wouldn't match, be aligned in the middle. Thankfully, Engineering changed the design so the part just needed to be drilled a shorter distance on the ends. Drilling 6" wasn't the hard part. Drilling square was.
Safety - Quality - Production.