No is the short answer. By making the raster catalog managed, you are importing the ECW into the geodatabase. This will expand the ECW to its full size before the ECW compression. You can try cranking the compression on the raster catalog down, but you will most likely not like the result visually to maintain the file size savings. If you want another ECW based on the 6000 rasters, then I suggest investing in ER Mapper and then merge the ECWs there and export as another ECW.
Mosaic datasets would be a much better option for this workflow, but as your client is probably using a non Esri product to utilize the ECWs this will not work.