There would be a difference in the measurement between using the modified case and a fire formed case. For the 300 RUM, since it is an unbelted case, to take the measurement with a Hornady modified case, you insert it into the chamber and seat if firmly as far forward as possible. That means the case head will be in a different position than a fire formed case held in stasis between the bolt face and shoulder.
Think of it this way; if you measured the Hornady modified case and the fire formed case with a HEADSPACE Gauge, those measurements will be different. IOW the measurement from the case head to the datum line
will be shorter on the Hornady modified case than on the fire formed chamber sized case.
But you also have to consider that if you use the same OAL measurement to seat bullets in new cases as you do on fire formed cases, then the distance to the lands will be different. Consider that when you chamber a new case that is loaded to an OAL of 3.625" (to fit the mag of the typical long throated 300RUM), that new case will be pushed forward before firing by the ejector button in the chamber and when the primer fires it will be pushed forward by the amount of headspace you have, THUS SHORTENING THE DISTANCE TO THE LANDS.
For example, and I know this is tedious but there is no easy way to explain it, on a 300RUM that I reload for (factory Sendero) the measurement from the case head to the datum line as measured by a Hornady Headspace Gauge (Remington brass) is 2.463". The same measurement on a 3 times fired fully expanded case is 2.473", which means the gun has a headspace of .010" with that particular brass. The brass will be moved forward in the chamber that distance of .010" either by the ejector button or the primer firing and if you were seating .010" off the lands, you would now be seated ON THE LANDS.
So you need to take all this into account and you can only be sure of one thing, your distance to the lands will only be correct if you take the measurements on fully fire formed brass or you allow for the headspace on new ones.
But in all likelihood you will not need the OAL gauge anyway with a 300RUM because all that I have seen have been long throated and you have to seat to fit the mag anyway. Which on the 2 that I reload for when seated at a fit-the-mag-length of 3.625" is .160" off the lands on the factory Sendero and .165" off the lands in a custom Bansner Sheep Rifle.