Exactly.
By the way, dpi exif is some kind of “accursed legacy that haunts forever”
Changing exif dpi does not change image quality at all, but client insists on seeing 300 dpi on exif 
Check this comment on dpreview website, dated 2007
Forget about dpi in the exif data… Forget about dpi in the exif data…: Canon Rebel (EOS 200D-800D) Talk Forum: Digital Photography Review (dpreview.com)