Well, i would like to have both, the rendered map for visualization, and the osm-data so i can get information about
the road topology. (road length, number of junctions etc).
Doesn’t this :
“and the main osm.org’s export tab helps you to do the same type of export with lat/long coordinate”
fits your needs ?
You won’t be able to get a perfect 1000x1000 pixels image with constraints of 2km x 2km square, but you should be able to get really close to it by playing with the zoom level and the export square and maybe using an image editor to cut as needed.