To be honest, no. Not even in the German dub which, as I stated a couple of times now, makes Rei even meaner to Usagi. Not just mean, downright insulting at times. Incidentially, in the manga, it's Luna that questions Usagi's fitness as Guardian, she tells Minako and Artemis (through the arcade machine) that Usagi is essentially only half as good as the other three, and Rei more or less calls her stupid.
I also know a couple of actual people who are constantly fighting like that but are otherwise inseperable, so it's not completely unrealistic, both in sibling relations as well as romantic ones (depends a bit on how you want to see their squabbling and love for each other) and even friendships. The Japanese version, provided the subs were halfway accurately translated, takes a lot out of the edge by the way Rei addresses Usagi. She does that without any honorific, and it's not done to insult Usagi.
And that's just the talking, never mind the concern the two show for each other whenever something bad happens. There's a reason for Michiru's observation about the two, even though I kind of disagree with reading romantic subtext into it, but that's just me. I've said that before, with Rei's lonely upbringing and her general lot in life living alone with her grandfather in a Shinto shrine, being an outsider because her abilities scare people, it makes enough sense for her to latch onto Usagi as a sister that she never had, and it's perfectly normal to be both more forgiving and more critical of our loved ones than of other people, contradictory as that may seem at a first glance.
Usagi and Rei may be the characters I can relate to the least, but they're great. It took me a long while to really appreciate Usagi and even though I felt really bad for her in R and wanted her to be happy, she was mostly annoying up until S, and never mind SuperS.
The rest I chalk up to early installment weirdness. Like Rei being Minako at her school festival, or her pinching Ami to get her to back down. Or the transformation pen, or Ami slapping Usagi, and a couple of other things that happen here and here. It's par for the course for a show that was written by the seat of the writer's pants, trying to adapt rushed material and probably barely ever could get script reviews and revisions done.
In a way it's a wonder it turned out to be as good as it did. I love it, warts and all, and I'll probably never get tired of talking about Sailor Moon.
In some ways the manga is in the middle between the first anime and Crystal. Take Makoto's introduction, in both Crystal and the manga Makoto saves Usagi from being run over by car, in the anime she saves her from three almost JoJo-esque gym gods (hehehehe) trying to intimidate and shake her down. Anime and manga Makoto is friendly to Usagi after saving her, Crystal Makoto looks stern and tells her to pay more attention.
In both the manga and Crystal a teacher is accosting Makoto for not wearing the proper uniform, Crystal Makoto angrily rebuffs that, while manga Makoto just tells the teacher that the school has no uniforms that fit her. Manga Makoto also needs to defend her hair color because the teacher thinks she dyed it. In all the versions Umino is spreading rumors of Makoto. In the manga, the reader can probably guess by now that they're not true, in the anime we already know they're false, because even though Makoto is super strong, she doesn't fight without reason, and in Crystal... in Crystal Umino seems to have a point, given her belligerent behaviour so far (even though she saved Usagi).
Both Crystal and the manga have her throw back a baseball super hard that lands near her in a somewhat jerky-looking move o demonstrate her super-strength that naturally isn't in the anime because why bother, she's already beaten up two gym gods.
So that long excourse is there to show that Crystal doesn't just look bad, but made weird adaptational choices where they would not have been necessary and left things unadapted that should have been (namely all the silly narrating of things that happen on the screen).
The manga sure feels rushed, because it was.
Hey look, it's almost another essay...