Monks and the Aldori Duelist archetype

The Aldori Duelist dedication has "trained in martial weapons" as a prerequisite. Monks are not trained in Martial Weapons, but the Monastic Weaponry feat gives them "become trained in simple and martial monk weapons."

So, in your opinion, does training in "martial monk weapons" make you trained in martial weapons or not? Note that it doesn't matter that the aldori dueling sword isn't a monk weapon - The Aldori Duelist Dedication will give you familiarity and that's good enough for Monastic Weaponry. The only question is whether you consider "martial monk weapons" to be enough to admit you to the archetype.

I go back and forth, but I'm leaning toward no.