The phrase "a different distinction" is correct and usable in written English.
It can be used when referring to an alternative or separate classification or differentiation from what has been previously mentioned.
Example: "In this context, we need to consider a different distinction between the two theories to fully understand their implications."
Alternatives: "an alternative distinction" or "a separate distinction".
But still, even the body theorist needs a different distinction.
But yesterday President Mahmoud Ahmadinejad laid claim to a different distinction - that of political chameleon and showman.
With just one year left in his second term, Obama now holds a different distinction: No modern president has had his faith more routinely questioned and disparaged.
I'm part of the internet bridge generation (I remember the sound of a dial-up modem), and have a different distinction of online and offline worlds.
Harrison (1963) made a different distinction, stating that leucistic individuals have melanin in the body, giving dark eyes and colored soft parts, but the melanin does not enter the feather structure and the plumage is white, whereas albinistic individuals lack melanin in the body as well as the plumage.
We draw a different distinction relating to the psychological and biological prerequisites for first language acquisition.
But it has now earned a very different distinction as the test case of the limits of the austerity plans that have been prescribed across Southern Europe.
A slightly different distinction is the between principles that really are binding on everyone (BN binding neutral"), even if one might not accept their authority without thereby counting as irrational, and those that are not (BR binding relative").
Popper saw this as an importantly different distinction than demarcating science from metaphysics.
For a related, though slightly different distinction between kinds of internalism see Brink (1989), pp. 37-80.
And I've drawn a lot of different distinctions about what would you say if you're a personality theorist to deal with this?
