I too like my rifles to shoot as tight as possible. Apart from the psych side of things there is the practical. That is if a rifle shoots 1.5" groups at 100 you then add in your shooting method in the field -free hand, or some form of rest- and the associated wobbles, could give you a 6" group at 100. A rifle that shoots 1" will dive you a 4" spread. So the tighter group instill more confidence and less stress, so better shooting, when in the field.

Talk about the Psych side of things. With a semi auto I am happy with a 2" group-from the prone, supported position- but would not except this from a bolt action. Go figure.

Accurate rifles.

some of my Rem 700's
CZ550
Steyr Prohunter
Browning X Bolt.

Of these the Rems are the only reliable indicator as I have had numerous of these where as the others only one or two.

With any of the above I would feel confident taking a 400mt shot on some thing the size of a pig if I had to.