It is easy to give advice to spend other people's money..... but if you are going to stick with this game and dedicate to good calibers, that advice from
@BoydAllen to get yourself a chamber Go Gage is going to come in handy as you cycle more examples of chambers/bbls over the years.
Having a reference standard to set up your comparators can be very handy.
With just one gun, your idea still works fine and is an important concept to grasp early. How brass behaves with cycles is important. If you were to zero on your virgin Lapua, then check after several cycles of neck-only until closing the bolt indicated the brass was getting tight, you would see the behavior.
Just be sure to maintain that virgin setting if you don't have the Go Gage, in case the tool is disrupted in the time it takes to cycle the brass.
Also learn to take micrometer readings to the nearest 0.000X" on the 0.200 line and the shoulder as best you can and keep good notes. There is some taper in most cartridge designs there, so play with these concepts for a while since it makes the micrometer anvil contact important. Good Luck.