I've been doing some research on this set. It is quite complicated. Here's what I've got.
1980 Base Set: Cards #1-173
1984 Update: Cards #174-189
1986 Update: Cards #190-196
1987 Update: Cards #197-199
The variations are based on the presence (or non-presence) of "1st Printing" and the MLB Logo, which means there are four different ways to find the cards (Both, 1st Printing only, Logo only, neither).
I found 3 of the 4 variations in abundance in the 1980 Base Set except for the "Logo only" which had zero examples.
I found 2 of the 4 variations in abundance in the 1984 Update except for the "Logo only" and "neither" both of which had zero examples.
I found an abundance of "Logo only" in the 1986 Update with a couple examples of "neither" and no exmaples with "1st Printing only" and "Both".
In the 1987 Update, the only examples were "Logo only"
I looked at the images on TCDb, COMC, and eBay.
If anyone has any of these in your collection, can you let the community know if your variations are consistent with my findings?
Thanks!