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Good point, I hadn’t thought about that. I slouch corrected!The kick, yes. The mass reduction will hurt the altitude. Immeasurably, agreed, probably yes.
Once the rocket is up to speed, whatever that top speed is, greater inertia helps because it diminishes the effect of drag. That's why there's an optimum launch mass; more mass means a lower top speed and less mass means slowing down faster. But mass ejected after burnout only affects the latter.