Most centrifugal pumps actually work less if you restrict the discharge... I know it seems contrary to logic, but it is less work for them to sling water around in the pump cavity than push it up the pipe. You can try a power meter on your favorite pump to confirm, more watts open ended in a bucket, less watts with 6 feet of discharge pipe on them (or your finger over the end). More flow = more watts with most centrifugal pumps.
As far as a 1000 GPH pump on a 800 GPH overflow..... I doubt you would get over 700 GPH flow into your tank with any bit of piping and head loss, but your issue might come with anything blocking the overflow pipe... like a snail, fish, crab, or macroalgae. If it appears to be pushing towards the limits of your overflow with no restrictions you might want to consider dialing it down to account for something undesired getting its way into the overflow system at some point. Floods are no fun.