Comment by amy214
It's also worth pointing out gravitation waves are a thing (have been detected by LaWD or Laser Wave of Gravitation Detector). Does not mean it's not changing the spacetime shape, indeed, these are a type of ripple in spacetime as might occur if Sally Struthers did a jumping jack.
Yes, by "the shape of spacetime" that refers to every specific location in spacetime having a specific shape associated to it. It you want to expand your view out across a range of space and/or time, yes you can see waves, but those waves are still nothing but just waves of variations in "the shape of spacetime". Because we haven't proven the existence of a graviton yet.