Yes .004" will cause you to lose oil pressure because of your lack of volume. Use your old HV pump. A new stock 440 is really tight like .0015". But you don't have a new stock 440. Everybody that builds a stroker wants .0025" to .0035". This means there is going to be a lot more oil flowing...
This is an interesting 2 minute video from Melling showing the oil flow through various main bearing clearances. You can't believe how tight the 1970 FSM says to run the main and rod clearance on a 440. And the Mopar B/RB manual says max allowable before overhaul just happens to be the minimum...
Just spend a little time thinking about your oil needs. With today's larger clearances everywhere you pretty much know you need the HV pump to maintain oil pressure at hot idle. The HV pump comes with the black spring, sometimes called the "Hemi" spring which bypasses around 70-75 psi. If you're...
In the old days 426 Hemi Top Fuel cars used the stock oil drive. There was nothing else available. Cold 70 weight oil and wide open throttle 100 psi going down the track. How are you going to break one? There is so much mis-information spread about the BBM oiling system it's unbelievable.
Save your old oil pump. You may want it. You are building a nearly 600 horsepower engine to put in your car and you want to run the stock oil pump and pan. A poster above said, and you must agree, "A stock pump should produce at least the minimum pressure specified in the Chrysler service manual...
Do you desire to overhaul the engine? I know the 12.5 pistons would mean avgas but overhauling an engine today is so expensive. I am in the process of starting 5 old Mopars (2 Challengers and 3 Road Runners) that haven't been started in over 25 years. One sat outside for 28 years. It's amazing...