1) The travel time benefits are degressive owing to increasingly eccentric heliocentric trajectories - the changes in trajectory length get smaller and smaller as your velocity vector stops being colinear with the planet's orbit upon intercept, so you don't really save a lot of additional time. (But you get the most benefits with even small increases above Hohmann transfer speed.)

2) Intercept velocities, on the other hand, are progressive -- pretty much for the same reason, combined with Pythagoras' theorem. At one point you stop being able to aerocapture, even with exerting downward lift in Martian atmosphere to prolong the braking phase.

Owing to these two things, I'm not quite sure that propelling yourself from LEO to Mars at 15 km/s would be a good idea, unless you intend to crash into the planet.