Hi Tim,
Your top pic shows a type 2 box. The second pic shows a non-adjustable column. The third pic shows a type 2 box. The fourth pic shows an adjustable column as Keoke says. The adjustable column would be the wrong type for your car.
To my knowledge, no BN2's came with the adjustable column & the dash slot would need to be widened to use an adjustable column.
Technically, to be correct, you should try to find a type 1 or 2 gear with non-adjustable column. I don't believe the parts are interchangeable between types.
The steering box came in three varieties. Check the Moss pictures & parts:
https://www.mossmotors.com/Shop/ViewProducts.aspx?PlateIndexID=28889
https://www.mossmotors.com/Shop/ViewProducts.aspx?PlateIndexID=28890
https://www.mossmotors.com/Shop/ViewProducts.aspx?PlateIndexID=28891
Type 1:
BN1, early BN2. Made by "Burman".
Triangular end plate on steering box (three bolts).
Spring loaded rocker shaft peg with ball bearings.
Could be adjustable or non-adjustable column.
Type 2:
Late BN2, early BN4, BN6. Made by "Cam Gears".
Square end plate on steering box (four bolts).
Solid rocker shaft & peg, no bearings.
Adjustable column (long splines) on BN4, non-adjustable column (short splines) on BN2, & BN6.
Type 3:
Late BN4/BN6, BN7/BT7, BJ7, & BJ8. Made by Cam Gears?
Square end plate on steering box (four bolts).
Roller type rocker shaft peg.
Both adjustable & non-adjustable columns depending on model.
The only positive way to identify the box would be to remove the top cover & compare it to the Moss pictures. It appears that your "replacement" may be a type 2 with adjustable column as used on the BN4.
As an item of interest, according to the Anderson-Moment book, the BN2 changed from the type 1 to the type 2 at C231109. However, my fairly late BN2, C231459, came with the earlier type 1, Burman gear & non-adjustable column. IMO, the earlier design gives less steering effort & a slightly quicker ratio than the type 2.
D