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Anyone claiming that sine doesn't mean without is just a plain liar.

https://www.online-latin-dictionary.com/latin-english-dictionary.php?lemma=SINE100
http://latindictionary.wikidot.com/preposition:sine
https://en.wiktionary.org/wiki/sine#:~:text=From%20Latin%20sine%20(%E2%80%9Cwithout%E2%80%9D).

I'm not sure I entirely agree that the label of "liar" applies to anyone, perhaps we can say it applies to anyone remaining obstinate after it's clearly explained, but even then, I think it goes much deeper than that. 


I liken this matter to the below snip on the EENS dogma from "Who Shall Ascend?" 

"...He who has ears to hear, let him hear." (Mt. 11:15, 13:9, 43). Jesus was aware that in the crowds He addressed were some who would be saved. They would be saved because they would find faith in Him by the power of the Spirit, through Whom they would recognize the divine truth which He spoke. Moreover, again by the power of the Spirit within them, these would respond to the truth which they recognized with the assent of faith and the grasping of joyful love.

Others who listened to Christ heard exactly the same words, but did not have the "ears with which to hear;" that is, they would not accept the grace to believe the truth which Christ expounded; for these latter, it had neither comprehensibleness nor urgency nor appeal. It might be better to say its meaning was both comprehended and its demand recognized, [but] The reason Christ's words were not accepted by most of His hearers was that they were unwilling to submit to its demands..."

Reading meanings into words which the words they read do not say, while failing to advert to what the words do say, I liken to Fr. Cekada, who openly admitted that he was unwilling to accept EENS because he knew most people were unwilling to submit to it's demands and would be lost forever. BODers are unwilling to accept the truth for the same reason.