For me the "New Movement System" is also the superior version that I will play with because it adds tactical and strategical challenge.
(Technically however we already support both and we can continue to support both alternatives - without much further effort.)
The gameplay with the "New Movement System" is actually pretty immersive and satifsying once you give it a try.
1) Players will move Units a lot more by Ship which requires them to make decisions how to use Ships most efficiently
2) Players will tend to put much more emphasize on building Roads to the vast land (e.g. to Native Villages)
3) Promotions that change Terrain Feature Movement Costs now have a lot more value than they did before
4) Climbing Mountains to get vision with your last move is not an easy exploit anymore but an actual decision
5) Player is not flooded with Exploration Points anymore like it happens on Gigantic Maps with "Classic Movement System"
6) Trading Maps with the AI now actually has a value and a meaning and is not just some cash grab from AI
7) Units with 1 Movement Point not just move through Jungle and Dense Forrests like if it was flat Plains - they struggle
8) Thus e.g. your Missionaries and Native Traders actually reaching a Native Village feels like a real success
9) Draining Swamps or cutting down Jungles acutally is a decision to make, since they serve as protection during war
10) With your last move you now need to decide: Do I want to continue moving faster (on Flatland) or do I want higher defense (in e.g. Forrest)
....
With the "New Movement System" there are now lots of small new questions and decisions that arise that never have to be asked with "Classical Movement System".
Thus it gives the game a lot more depth, a lot more tactical and strategical challenge, a lot more immersion ... and last but not least a lot more fun ... at least for me.
It is different, it is not as easy anymore, a lot of "exploits" do not work anymore, you will make wrong decisions sometimes, things get harder ... but it is also more satisfying.
For me the "New Movement System" will kind of be the "default" for the future where we will try to interlock new features like e.g. "Logistics" and "Promotion Overhaul".
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But again:
For now "Classical Movement System" is still "default".
We first need to teach AI some of the implications I have described above.