The discussion clarifies that general relativity (GR) does not support the idea that an object's mass increases with speed, countering the notion of "relativistic mass" as a source of confusion. Observations have not confirmed any increase in gravitational attraction due to varying speeds. When traveling at near-light speeds, the experience within the ship remains consistent with stationary observations, emphasizing the relativity of motion. The conversation highlights the distinction between gravitational mass and inertial mass, noting that the latter is the one influenced by relativistic effects. Overall, the topic underscores the complexities of mass in the context of relativity without supporting the idea of increased gravitational effects due to velocity.