I'm tempted to say 'yes', BFrank, but I'm not so sure. The reason for this is that yesterday I was playing my NY USA stereo of 'Unity'. This copy has the heavy Plastilite familiar from 'ear' LPs, has the NY USA labels and the typical NY sleeve. No mention of Liberty anywhere. Inner liner mentions '1966' above the LP pictures so that pretty well nails it as 'original' or thereabouts. The sound quality of this mint LP is magnificent - commensurate with an early pressing so I would say that this one is probably 'original'.
In contrast, I have probably half a dozen Blue Notes with NY USA labels, again of the 1966/67 vintage but with mention of 'Liberty Records' on the front cover. Lee Morgan 'Cornbread' is a good example of this. They also sometimes have serated rims on the LP - again this is something I associate with Liberty LPs.