There was a rather big difference between the first 210s and the 410. The tail was shorter, the wings kinked backwards (like a C-47) after the engines, and the engines were smaller/shorter. The changes to fix handling were already being put in place in late 1941, when the long-tail was introduced on the 210s.
I recall asking and I think I got a confirmation I could put a Hungarian 210Ca skin on the 410, but I have to search where that was (forum? e-mail? I need to check). However, there is a difference between the 210Ca and the 210.
The 210Ca was produced with licensed copies of DB605s, same engine as on bf109s. Most of the improvements found on the 410 were found on the 210Ca. It wasn't quite as fast since the engines were less powerful, but it was much closer to the 410 than it was to the 210.
The 410 was to originally be called the 210D or 210E or something. Most of the changes were in place to remedy the problems, but it was political bickering and in-fighting that called for a re-naming to try to leave that behind. Otherwise it was the direct successor in the same series.