Definitely an error there. Sadly there persists quite a bit of outdated info on the wiki. To put it even more simply than Potski (who was quite correct all the same), to enable the CA bonus you need to build a division that has one armor type brigade (LARM, ARM, HARM, SHARM) and one infantry type brigade (CAV, INF, MTN, MAR, PAR, MOT, MEC, GAR). That gets the base CA bonus and qualifies the unit for any additional CA-dependent bonus like the Battle Master trait of a leader. The bonus is further increased for each other general unit type represented, of which there are three. All these types are color-coded in the division builder screen for ease of identification. Notice that there are gray types, particularly MIL and MP - this indicates they have no effect on the CA bonus.
There may be another factor in play, depending on the version of the game you are playing. You show vanilla on your registrations, but it would be helpful to know what expansions you also have. (And more helpful still if you registered them

)