Do you have such a thing as a Vernier caliper? If you have you will know what it looks like, if not then you could try this method on your scrap piece.
Cut a piece off your scrap one then lay this on something, (a number of sheets of paper or card will do), so when you lay it next to the other piece of scrap it is about the same height difference as shown on the worktop. Sand the raised piece of scrap until it feels about level with the non sanded piece. Remove the paper and examine how thick the remaining layer of veneer is, then lay both pieces side by side.
This will give you an idea of how much you would need to sand off the worktop. It's your judgment to decide if the worktop piece is thick enough to withstand this sanding.
Bit of a long way to find out but it may save you time and money in the long run if you think it will work.
BTW, sand in the direction of the grain, not across it or you will never get the scratches out.