General relativity describes gravity as a distortion of space-time and not an actual force like electromagnetic or the weak and strong nuclear forces. So if there is a net-zero force, force being the wrong word possibly, doesn't that mean all the warping of space has been straightened out, i.e. all those bent lines you see in diagrams has been straightened out so effectively does that mean no gravity?The Lagrange points are not zero gravity points. The gravitational attraction of the Earth stretches out to them. There is a net zero force due to the counter acting gravity of the Sun and or the Moon, but gravity is still present just balanced.

Also, according to the equivalence principle, acceleration and gravity are equivalent, so if I'm experiencing no acceleration then there is also no gravity?

Just my first thoughts on seeing your post, I am out of my depth with relativity, so any comments are welcome, thank you.