Not true, as when space bends, it bends the rulers and compasses too. We experience no spatial distortion.
A person traveling near the speed of light doesn’t feel like time is slower for them (but it is and we can measure it)
The principle is equivalent.
That said, it’s not a straight line in any topology standard I am aware of.
Sure you could CREATE a topology framework where this would be considered a straight line, but there is no real world model that could come even close without so much mass being concentrated in static relative areas, and EVEN THEN it would only be straight for a predetermined instant before the mass deforming spacetime began interacting with each other.
That’s the problem with spacetime deformations, almost no layman takes into account the ridiculous amounts of static mass to make those strange topologies.