This appears to be a new sense of "ineligibly" previously unknown to English. Did you, perchance, mean "unintelligibly"?
I was going to point that out also but was thinking he meant "illegible".
Now I'm not sure if there should be a comma in my sentence before the word "but" . . . I am suddenly unsure of myself. And self-conscious.
Yikes, started a sentence with and....
Oops, and a new paragraph with no new topic.