Yes- they give you a map to the closest mansion.

Do different cartographers give different maps?

In Java Edition, each cartographer sells its own unique explorer map, pointing to the nearest location. Purchasing another explorer map from the same cartographer results in the same explorer map.

Will cartographers sell the same map?

If we buy a map from the first cartographer, we get the same map with the areas where we have been revealed on the map. Buying a map from a second cartographer reveals the same map, but completely unexplored. This can be seen in the provided screenshots of a local woodland mansion and water monument.