Why wouldn speeding up of Earths orbit be good to see stellar parallax?
The reason we don’t see stellar parallax with our naked eyes is that even the nearest stars are so far away that the shifts are really, really tiny- that’s why we talk about the “fixed stars”; they appear to hardly move at all with respect to the celestial sphere. You need good telescopes to discern yearly parallax shifts due to the Earth’s motion around the Sun. Speeding up of the Earth’s orbit would make the parallax shifts happen faster, but it wouldn’t make the shifts any bigger- they would still be unobservably tiny. The stars would still seem fixed to your naked eye. In contrast, if the Earth’s orbit were larger, the parallax shifts would be larger: you would have a better chance of noticing a change in position of a star over the course of a year.