Though the technologies may be related, there is one crucial difference: with a transporter, YOU supply all the mass and particular elements on on end required on the other. With a replicator, you have to have a ready supply of mass to convert into the desired form.
Actually, that may not be a requirement.
If you can convert matter to energy (and retain its pattern), and transmit that energy (with pattern) to another location and convert the pattern into matter, you have a transporter (one definition of one).
If you have energy, and can form it into a pattern, you can then convert that energy pattern into matter.
My assumption is that with sufficient tech, matter can be converted into energy, and energy can be converted into matter.
this was my other point that Umbran corrected. He's right that there ARE other ways to do a transporter other than matter conversion to energy, transmission and reconvert back.
But if you do it the ST way, you get Replicator technology by modifying that process, including storing the energy pattern,and then reading it (to copy it) rather than dumping it back out (as a transporter does).
Whereas, if my Transporter simply modifies the X,Y,Z attributes of your component quantum elements (I have no clue if that's possible, but if string theory revealed such an element AND we could manipulate the strings), it would be just like in a video game. Change your quantum particle coordinates and you appear in the new place. That methodology would NOT inherently give you a Replicator by simply modifying that process.