It seems that much of this discussion is whether you support the science of the design, or simply follow what your ears prefer. Neither is incorrect for the specific individual. In addition, no one listens in the exact same system which will certainly add its own signature. So to contribute to the OPs question: if the result is a sound you prefer (vs what is arguably more accurate) then, yes, there is a place for conicals and ellipticals.
I fall in to the science of design that produces what I like the sound of, category. I’ve never used a conical in 60 years, so I didn’t contribute to the discussion. While I use pivoted arms often, I prefer the sound of my linear trackers with microline/ridge, and therefore IGD is not a factor. Besides a few original elliptical tips, most all my others are Hyper-elliptical, microridge or microlines. My sole Shibata is a 12a in a 721 that I
installed the lowest capacitance non exotic leads on. It sounds ok.
Alignment is critical on an LT. You MUST be at the right angle tangent of the groove for the magic to happen. Also, nowhere in this thread did I see any mention of WHERE the tip tracks in the groove, just that some tips track longer sections, which is particularly relevant on used records. If a longer contact area rides an undamaged or cleaner section only, it is more accurate and better sounding. If it encounters a damaged and or dirty area combined with the cleaner undamaged area, it probably presents the damaged over the clean but will still in all likelihood sound better than a tip
that only rides the damaged section.
Many times, for me, simply switching to a different tip/cart/table will present a much quieter and it more natural result as that combination rides in a quieter part of the groove of that LP.
Mistracking to me, is the most bothersome distortion, followed by unnatural FR presentation, so the arm/cart/suspension combo is key in that venue. I’ve never used a contemporary AT, so I have no comment on them, but I love the sound of my DL-110 on my Yamaha YP-D8 through my C33. Quiet, realistic, no mistracking, with no IGD on anything I’ve played in the last few years that I could detect. Otherwise most other tables are Shure equipped with a vintage MA thrown in at times for fun.