> will this fix also keep a similar distance between curves?

The usual trick is to have a distance between the edges was that one draws
a control point curve around the corners of each cells and offset then a little
bit inwards.

That's how i have done it in the past with my Voronoi Eggs.

https://www.behance.net/gallery/34247989/Voronoi-Egg-CVT

Regards
Stefan