Trans cooler used for oil

Just because the aftermarket makes them that size doesn't make it right. IMO 1/2" should be the minimum i.d. so as not to reduce oil flow. Several yrs. ago I installed an aftermarket remote filter kit on my 360 and the oil pressure dropped 5-8 psi immediately. It came with 7/16" i.d. hoses and the fittings were only 3/8" i.d. I replaced the fittings with 1/2" i.d. and installed 5/8 line and the pressure went back up to where it was originally. Since the oil pressure sender is located on the output side of filter that tells me that kit as it came was pretty restrictive.

Cummins or any other V8 makes no difference.

your not pumping all of your oil through your cooler before it goes to your engine just a small amount . you only need a quart or so a min going through your cooler if that much .
on a remote oil filter you should have bigger lines like was said because all of your oil goes through it before it goes to the engine .