Consider the following sentence:
Alan does not intend to inform us.
So Alan is saying something and what he is saying is true, but he just does not intend to inform us, that is, he doesn't care to inform us but intends something else. So I tell a friend of mine that it is not Alan't intention to inform us.
Now, what should I do if I want to add an adverb to the verb in the above sentence?
Alan secretly does not intend to inform us.
So, I now want to tell to the same friend that Alan does not reveal that he does not intend to inform us, that is, he does not reveal his real intention but he somehow let us believe that he just intend to inform us.
The above sentence with the adverb "secretly" seems problematic or ambiguous. Generally, it seems to me that adverbs before "do/does not" are ambiguous or at leas unidiomatic, aren't they? One way out of the problem is to find a verb meaning "does not" which does not have "does not".
Two verbs I have in mind are fail and cease. But these two verbs seem to add a sense to the negation. Fail to intend means not to be able to intend or do not be successful to intend. Source And cease to intend means stop to intend. Source
The other way out of the problem is to change the sentence into something like:
Alan secretly lacks the intention of informing us.
But, again, lack the intention of has the sense of "be in need of the intention of" or some other related senses. Besides, "secretly lacks" is weird itself.
But I do not want such extra senses. So, I am looking for a verb without "not" to use instead of "do/does not" so that I can put the intended adverb before it.