However for Follow Up Divs those Jeeps were often left behind due to loading restrictions, following up later. Unless packed into the back of 3-tonners as was standard in XII Corps.
(Coming back to this late) A small point in the scanned account the term 'Brownings' in this context probably means .30in.cal. M1919. The contect of range and rate of fire of the bren not being enough - the .50 had penetration and range however for 'hosing' to keep heads down, the .30in was favoured. Most likely salvaged from Lend Lease tanks left in the ME Theatre e.g Grants.