Wow, if that image is authentic, then that is extremely damning. Right from first hearing the Funimation dub for 3.33, I can't say I've been a fan of his translation work. There's the occasional flash of inspiration (example: Fuyutsuki's line in 3.0+1.0, [ISPOILER]"Ikari, how will you bring the drama to a close?"[/ISPOILER]), but the rest seems questionable at best, outright tone-deaf at worst, and... honestly? I really don't think Kanemitsu should ever have been put in charge of translating Evangelion into English.
Of course, Khara are very much at fault, too, for choosing him.
[SPOILER="3.0+1.0 SPOILERS"]Yes, since the very start.
My initial take was the same as yours, when Asuka explains how limiters are put on Eva pilots at design time, causing them to have inefficient emotions, while the Ayanami series have theirs adjusted so that they'll be drawn towards Shinji. Asuka then meets her "original" after unleashing her Angel form, and that confirmed it for me: Asuka had her soul pulled out by the 9th Angel's invasion of Unit-03, leaving her body as an empty husk. I thought, too, that this was why this Asuka seemingly hadn't aged: it was just that she had been more recently closed from the original Asuka. I also thought that her very clear anger and bitterness was at having to exist because Shinji didn't save (or destroy) her original.
But that was all wrong, as Asuka's backstory later in the film showed. She was a clone from the very beginning. We see profile pictures of the series of clones on screen, and they're whittled down until only two remain. "Our" Asuka (the one from 2.22, 3.33 and 3.0+1.0), if I'm interpretating an on-screen NERV document correctly, appears to actually be the one who lost out. I'm not completely sure of this yet, though, so I need to watch the film some more.
The clincher, of course, is that 3.0+1.0 Asuka remembers very clearly what happened in the 9th Angel incident. Rei, meanwhile (in NGE, at least), does not remember what previously happened to her when a new clone is put into use: her soul is salvaged, but her memories are not.
Note, also, that Mari used the word "original" when she briefly spoke to Rei Q (as some fans refer to the 3.33 character as). In this case, Mari is surely referring to Yui, since Mari never spoke to the 1.11/2.22 iteration of Rei. Asuka, though, seems to be using the term "original" towards the other of the two clones (scarily, the "winning" one, presumably
). It is being speculated by some fans that the "winning" Asuka clone was used as the soul of Unit-02 just as Yui became the soul of Unit-01, but I'm not sure how much of the setting of NGE carries over to Rebuild.
Asuka encountering her "original" self within Unit-02 also helps to disprove the idea that 3.0+1.0 Asuka is cloned from 2.22 Asuka since 2.22 Asuka encountered the 9th Angel within a Dummy Plug inside Unit-03, not Unit-02.
Lastly for now, Asuka mentions (I seem to recall) in 3.0+1.0 that she's been surviving on water and doesn't need to eat. (Note that Rei didn't seem to eat often either.) Asuka also doesn't sleep. Well, I was fishing around on the Eva Fandom site for information and found this exhaustive selection of translation notes relating to the finale, and it turns out that in the development stages of the film, there was something else that the part-Angelic Asuka was unable to do:
This includes a cut line (apparently a mostly different scene from ... an earlier version of Part A) by Asuka saying she "can't even have sex".
[URL unfurl="true"]https://evangelion.fandom.com/wiki/Evangelion_3.0%2B1.0_Assorted_Translations[/URL]
[Under "Assorted Tweets"]
Something I'm still trying to fathom, though, is that in that spectacular scene where Asuka force-feeds Shinji, she tells him that he's also a "mock Lilin" and that he still needs to eat "before your body stops growing". 
[/SPOILER]