Slightly is subjective. It can be 10 miles or more. But if you remove it they will notice...
I worked for a company that worked with maps and our local authorities came over and asked us to move the locations of the bases just a bit. We did that. The logic is that they already know the base is there. Just move it a bit and if it looks close enough they will get small things wrong. If it's too much they won't make the mistake of relying on the bad information.