100%, you'll probably spend a while finding and installing the 'original' PUP only to find you preferred the imposter. I bought a bass with a dirt cheap (to my mind) pair of PUPs a couple of years back, I looked at them in disgust, played the bass for a while, was impressed, but wondered just how much better it would sound with some Nordstrands. Two days later, courtesy of Bass Direct, a pair of Nordstrands were in the bass and, f**k me sideways if I didn't prefer the cheapies (Toneriders by the way). So I thought I'd check, reinstalled the Toneriders and yes, for that bass, with those strings, the lovely vintage feel of the Toneriders knocked the socks off their 400% more expensive Scandinavian counterparts, which came across as a little sterile by comparison.
Assumption, as they say, is the mother of all pink torpedo-ups