Laser bore alignment will certainly align the bore axis with each other if done properly, even to putting in a small amount of crossing, which will be necessary, but as Pedersoli found out, that has little to do with the actual regulation of the barrels. This is due to barrel whip, vibration and recoil along with being fired from one side of the centre line and then the other.

Only pure S--t House luck would have laser alignment work well - as in - DONE! - imho.

If enough guns are built in a given calibre of the exact same weight, design and fit and used excactly the same load, then perhaps a 'trend' would be observed and thus actual regulation could be plotted and the process shortened somewhat.

I am sure that is how the English guns are started in regulation - a fairly accurate estimate is made for the initial test, then the work starts from actually firing and adjusting as necessary, with wedges and re-soldering.