All the facelift cars I've owned had the engine size badge - 1.9i, 2.2i and 3.0i.Neither my original nor replacement boot lids had the engine size on. Nor my 1.9 actually. All pre-facelifts.
Did the engine size badges only start appearing on facelift cars?
Only 1 of the facelift cars I've owned had the engine size badge and with the paperwork for the car was an invoice from the supplying BMW dealer for the supply and fitment of said badge - not surprisingly it was a 2.8 badge.