The UKmilitary didn't centre bed the Enfield's, but using the 'correct bedding' :
TESTING THE STOCKING-UP
30. The accuracy of the rifle when fired will to a large extent depend upon the freedom of the self-aligning barrel within the fore-end and handguards. To ensure this freedom, each fore-end is individually fitted to its barrel and body, and then stamped with the serial number of the rifle.
31. With correct stocking-up, and providing the barrel is straight, the muzzle end of the barrel should be free to move vertically upwards from the fore-end, and to have slight lateral movement, but no downward movement on to the fore-end. The stocking-up may be tested as follows:--
(a) Ensure that the rifle is correctly assembled, that all screws are tight and that the serial number of the fore-end agrees with the barrel and body numbers.
(b) Grasp the fore-end and handguard near the muzzle with both hands, with the thumbs on the underside of the barrel. Press the muzzle end of the barrel vertically upward away from the fore-end; there should be definite movement of the barrel. The pressure to move the barrel, if measured, should be from 3 lb. to 7 lb.
(c) Change the position of the grip and test in a similar manner for slight lateral movement on both sides.
(d) Repeat, with the thumbs positioned on top of the barrel; there should be no downwards movement of the barrel.
Note:--Should it be found that there is no vertical upward or slight lateral movement of the muzzle-end of the barrel, the fore-end and handguards must be removed and re-fitted as described in paras. 52-55.