Hi blastframe,
Not that I can see a lot on these images, I typically don’t work from images. I would ask for a scene file, but this is clear. With Cubic and B-Spline you ahave certainly the strongest influence over many spline points. Akima stops at the next point. With a three point spline anything will move with Cubic, Akima, and B-Spline, and Bezier.
You need five points to have the point inside of two neighbors moved, while in Akima. Cubic would not work even with ten points, if the middle point moves extremely.
I would suggest to alter the spline in a different way then, if it needs to be three points. It needs intermediate points to work, not too little – not too much of them.
Scene file
https://www.amazon.com/clouddrive/share/y0fdUZPMDlY6whoAe6EDnQxzqutNRoS58UutKwwNwv3
I can’t change it in the app, nor do I have an idea how to simulate the the Maya algorithm in an easy way, after all it is all math only. They work all similar, based to my knowledge on the DeCasteljau algorithm, or similar. How Maya or Cinema 4D does it under the “hood”, is not documented.
https://en.wikipedia.org/wiki/De_Casteljau’s_algorithm
I have translated that into C4D here, at least to my little understanding of the “mechanic” of it. It is quite elegant to see it working. Again, this might be all different and app specific, as you said.
Scene file and screen capture:
https://www.amazon.com/clouddrive/share/K2bxNLgjZcQdC1qirUTYd7qFPLeivLxnoPxh4yTrJ7i
The “green” nulls are for moving to get a new curve.
All the best