From what one has been researching/reading, the point of keeping the pH neutral/mildly acidic even for normal laundry is to help prevent calcium "encrustation" of laundry amoung other things.
As previously posted by moi, high alkaline washing conditions clean well partly because they cause textile fibers to swell, releasing soils. However while those textile fibers are open minerals found within water and those coming from the soiled linens themselves also will pass into the textile fibers. As rinsing occurs and the laundry pH returns to neutral or near neutral the textile fibers contract trapping the minerals within fibers. This is what causes that scratchy hard feeling to textiles washed in high pH solutions such as detergents heavy on washing soda, and or when that substance is added too much as a laundry aid/booster. One can see the difference also in that laundry washed in liquid detergents, which use other types of builders than the common washg soda found in powders, normally leaves laundry softer.
To counteract the aforementioned mineral deposits, commercial laundries and others add some sort of mild acid to the final rinse bath (aka, laundry sour), to help disslove the calcium. However this works only so well, and can cause other problems as both cotton and linen fibers are damaged by acids, as are some dyes. The repeated use of unbuffered and or to strong laundry sours and or the incomplete removal of the acid will lead to textile weakening.
To sum up all this palaver, hence the rationale behind using laundry detergents with mild pH levels.
Commercial laundries like low or neutral pH detergents because they now can skip the souring step of the wash process, saving money and time.
As for removing heavy greasy/oily soils, there are many pH neutral surfactants that will do the job, not to mention various enzymes. However it should be noted that in general typically most persons do not get their laundry so heavily soiled that it requires all out beat down cleaning. For the odd occasion of really heavy greasy dirt or stains there are vaious pre-treatment products ranging from Fels soap to Lestoil to simply adding washing soda.
L.