I am unsure as to what you are trying to say here. It reads to me as “the word the article discusses has a more popular homonym, but they are clearly not talking about that”.
I'm thinking out loud and pointing out the difference to avoid confusion, and also trying to invite discussion around the colloquial def, because I think the colloquial def is the most important/useful one.
I'm thinking out loud and pointing out the difference to avoid confusion, and also trying to invite discussion around the colloquial def, because I think the colloquial def is the most important/useful one.