I like both designs quite a bit myself; but I feel like the remake one does a couple things that I don’t like.
The original is a really good embodyment of the character and is able to do a lot with Takeuchi’s more primitive art at the time, it manages to set her apart and highlight what her character is while not straying from what the rest of the VN is. That said it is obvious that like many other things og tsukihime that it is very much a diamond in the rough situation and that it does lack this aspect of polish.
The remake is able to address a lot of this by just 20 years of extra experience and in many ways is able to refine the overall design a fair bit; even if we have to put up with the sameface problem (even though Ciel suffers the least from this). My main gripe with the remake is her executioner outfit which goes from pretty badass but still rough to an immitation of Mash from Fate/Grand Order, while I do like a lot of the work put in the new outfit and all it does to try and improve; it goes from bland in comparison to the rest of the game to bland in comparison to the rest of the nasuverse. The big thing for me is the tattoos (or lack thereof), they worked as a really nice accentuation to her outfit and managed to make executioner Ciel a quite nice and detailed design especially in the original game; remake throws all of this out of the window for a more generic version of her outfit which would do well with the tattoos and early design documents show that they were considered and then later removed.