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Also a lay person. Maybe it's because of the time complexity. Let's say you have data of size 10 (any unit) which becomes size 8 after compression.
If you encrypt first: Encrypt size 10 of data -> Conpress size 10 of data
If you compress first: Compress size 10 of data -> Encrypt size 8 of data
So second way is faster as the compression still takes the same size of input but the encryption takes a smaller input.