https://mods.factorio.com/mod/VehicleGrid/discussion/60ed5a7262149ebddd9a68d4 - Same issue
1) Construction Robots/Car not respecting "Logistic while moving". Robots leaving car to build before full stop
2) Sometimes Construction robots will stop what they doing and fly to nearest stationary roboport 30 grid-blocks away if car is moved for more then 1 pixel.
3) If car is moving construction bots cant enter it and again reset them self to nearest stationary roboport.
Basically using car as cheap "buildotron" is not possible at all after first roboport is build because bots will leave car as before full stop or they reset randomly while working. But if no roboport is present on the map, they keep building without any problem and not trying to enter player roboport.
I dont know if bug is persist without AAI vehicles mod.
I will be happy to hear your though on this, thank you