First off: Yay, Celestial Lions!
As to the question itself, I'd have to agree with Spartak and tgjensen. The Lions may be one of the more reasonable and noble Chapters of the Adeptus Astartes (or indeed amongst all groups of the entire Imperium), but at the end of the day they are still Space Marines, each and every one growing up in a xenophobic environment, having been subjected to hypno-indoctrination and having fought for decades if not centuries against "the alien" and likely having lost a brother-marine in fights against more xenos than just Orks.
Another issue may be the matter of how closely you want to stick to the fluff. If you are playing the Lions after their retreat to Hive Tarsus, then you should be aware that the few survivors have sworn to die on Armageddon. The Chapter has no future, so its remaining ~90something Marines want to go out with a bang, taking as many of the greenskin enemies that killed their brothers with them as possible.
That being said, there may be ways around this little inconsistency, if you discuss the matter in your homebrewn background. For example, a White Dwarf entry about the conclusion of the worldwide Armageddon 3 campaign mentioned how, in spite of the war against the Orks raging on, many Space Marine Chapters have withdrawn from the planet due to the current Season of Fire - a planetary phenomen that severely hampers troop movements and pretty much turned all combat action on Armageddon into trench wars, something that the mobility-focused Marines aren't particularly good at.
Perhaps the Celestial Lions would reconsider their vow if they feel they're needed elsewhere. Their loyalty to the people of the Imperium seems to be very strong, and regardless of how they feel about the Inquisition (about whose interference they still do not have any evidence), I'm not sure the incident would change this. The 13th Black Crusade breaks out in close chronological proximity to the Season of Fire (the Blood Angels' fleet changes course to Cadia shortly after having left Armageddon), and maybe your Marines stumble into other incursions en-route to their new destination, too, explaining games against more enemies than just Orks and Chaos.
You could even have Inquisitor Apollyon "arrange" for direct clashes with Inquisitorial or other Imperial assets, including regiments of the Imperial Guard who were told they'd fight Chaos Marines, or an Adepta Sororitas Strike Force erroneously tasked with purging the Lions for doctrinal heresy.