Thanks for the response!
That's the conclusion I came to. The only difference between the pinouts of the psu side of the cables is the middle pin (the empty middle and occupied middle pin slot vary between the two designations - attaching picture). However, it seems the middle pins of 6 pin connectors on type 3 psus both deliver +5v, so both cables should be good.
With that said, I just went ahead and used the cables labeled type 3 before I figured that out, so I can't be 100% sure.