Yes, it’s possible to build the “same” curve but that depends on a few nerd semantics:
-What’s your tolerance on “sameness?” For example, that simple Parabolic Curve I showed earlier would require a 3 degree 5 span surface to represent it to what I would consider accurate. A 3/3 is close, but not exact, and even a 3/5 has some slight deviation, so it’s not truly “the same” but it’s very very close. In fact, Pro E currently works just like this, where for the most part if you import a high degree surface and then perform any kind of modifications to it in the tool, it will recalculate your surface as a 3 degree/whole lot of span surface to get it to rebuild within tolerance.
-The 3 degree therefore will in turn require more geometry (CV’s) to dictate the same form. This is important to consider when you think of how Class A surfacing works. We want our geometry to be as accurate, and as light weight as possible, so higher degree curves make more sense.
-The curvature comb of that new curve will have spikes in it like I’ve shown. In some cases these are insignificant, but when the surfaces start to become very heavy, you can start to see issues in your surface quality like bone/tangency lines, and some other things that you may be able to live with, but on a reflective surface would be killer.
While I haven’t spent much time in an actual car studio, the geometry I have seen typically will use only the degree absolutely necessary for a patch and nothing else. Car designers also always work on a “theory” model which is proving out form, and the Class A surface model is generated after to smooth out all the topology and patch layout. In the product world, none of that typically matters - we build something that looks and feels good enough in 3D then ship it.
So to answer the question - always building with 3 degree curves isn’t necessarily bad. In fact if you are dealing with Pro E, keeping 3rd degree math as your primary will work better, because the tool won’t ever try to rebuild it for you.
With that said I use a fair amount of 5th degree geometry, because it often helps keep your surface smooth when trying to get G2 continuity.