Well, being named "Imperator" did not automatically mean to be awarded with Triumphus... Imperator was a reward from commanded troops, while Triumphus was a reward from the whole society and the state, for defeating an enemy the Republic was at war with.

BTW: how can a character get his "Corona Civica" reward? This was given for saving another Roman citizen in battle, but in my 1.0 Romani campaign one of my FMs received such Corona after a battle or two n Spain against Carths, yet I wasn't sure, what was sooutstanding in his action... and now I'm wthinking whether the other Coronae exist in game - Corona Muralis (for being the first one on attacked city's wals), Corona Navalis (for victory in naval battle) and - most honoured - Corona Graminea (Garland of Grass), for saving an entire army from imminent doom (the one L. Cornelius Sulla earned during Social War) => IMHO they would be veeery nice to receive