Are you simply looking for that "cheap cassette recorder sound"? Why not record with a proper recorder and then cheese it up to sound the way you want?
I can tell you that consumer cassette players, especially when using batteries, will MAYBE play back at the same speed and if you are recording on one machine and playing on another, you will have significant drift and you will have many edits to bring it back into time.
2nd suggestion is to come out of the headphone jack & into your mac and capture at the same framerate as your sequence.
Steve