Courtgreen, the process remodel describes is correct and works fine.
Unless the magazine in your firearm is too short.
For any magazine type firearm, handgun or long gun, the cartridge over all length (COAL) must be short enough to fit the magazine and long enough to function through the action of moving from the magazine to the chamber. Some semi-autoloader pistols and some lever action rifles will not function (very well) with too short an over-all length, depending on shape of bullet. Lifter type lever guns demand a specific COAL in order to operate.
Further - and not inconsequential - is the amount of space the base of the bullet takes up in the cartridge. The intrusion of the bullet into the case changes the volume of the case and that effects the pressure and pressure curve of the burning powder.
To illustrate, one develops an 'accurate' load in a rifle based on seating the bullet out to the lands. (I do this myself at times.) After finding a good load (powder and charge level), one finds this loaded cartridge will NOT fit the magazine. If one uses the same load and simply jams the same bullet deeper into the case with the same powder charge, one has increased the peak pressure level of the round. Probably not enough for a catastrophic failure of the rifle, but possibly enough to flatten primers and lock the fired case in the chamber.
I suggest one start with magazine or revolver cylinder length as primary basis for COAL and work from there.
For one of my accuracy rifles, I developed two loads; one for single loading (to lands) and one for repeated firing from magazine. The loads are not radically different, but they are different.
Have I confused you enough?