I've noticed the ride is different with a full tank, but I've always figured it's the additional weight in the back.
Can't say I've noticed and acceleration difference, but considering how deceptive the CVT is to begin with, I wouldn't trust my senses there. I wonder if a GPS has enough resolution to capture the differences... You could accelerate from a known state, and look at the distance/time data points and plot them on a graph. To keep temperature and barometric pressure minimised, you'd have to do the empty tank first then fill it up and do the full one.