Latent means something that exists in-state but that hasn't been developed or exposed.<quoted text>
Latent means undeveloped, as in not much thought was used.
A logic fallacy is a classic instance of undeveloped thought.
Lame means weak and ineffectual.
Do you need any other explanations regarding the english language?
When I helped students learn and use new words, I always suggested they try using a synonym in place of the word, to make sure they were using the right word.
Both Webster and the OED seem happy to list dormant and unused as synonyms for latent. Let's try both in a sample sentence.
His latent talent for the piano blossomed with each lesson.
His dormant talent for the piano blossomed with each lesson.
His unused talent for the piano blossomed with each lesson.
So far, thing look good. Are we all happy with the meaning of latent, as demonstrated through these examples?
But when we try your sentence:
Is this your latent, lame appeal to authority logic fallacy?
Is this your dormant, lame appeal to authority logic fallacy?
Is this your unused, lame appeal to authority logic fallacy?
These don't hold up to the substitution test, meaning that latent might not have the meaning we need to convey the intended message.
Similarly, I would think you're looking for the term 'logical fallacy', though that's more of a grammar issue and less central to being able to express content.
If I were looking to say what I think you're trying to say, I might try
"Is this a sort of poorly developed appeal to authority? These kinds of logical fallacies are lame."