Hello and welcome to CWT as well as a Merry Christmas from Texas!
I'm not an owner of the Pedersoli Lorenz, and I think I may have made myself a bit notorious on my feelings for the gun. A good description and discussion of it can be found here:
After a suggestion from one of our other members in another thread, here's a thread on Pedersoli's much anticipated, jaw-dropping priced Lorenz rifle musket. The reenactments have stood in great need of a reliable reproduction Lorenz, and Pedersoli making one was highly anticipated, but to my...
civilwartalk.com
As for its accuracy, I think ammunition may be involved. The reproduction, like the original, uses the "Lorenz compression bullet" as many call it and I suspect if one uses a round ball instead of the proper ammunition, one will be disappointed on accuracy. Also of course there is the fact a lot of Italian made rifle-muskets do have a reputation for inaccuracy out of the box, some would say Pedersoli is exempt from this, I would contend that personally.
If your heart is set on a Pedersoli Lorenz I say go for it, but be sure you get a bullet mold as well, and some books on bullet casting if your uninitiated. If your heart is set on just a Lorenz, well shootable originals can be had for a lot cheaper and they were there so to speak.
If your just in the market for just any good reproduction musket, or rifle-musket I would recommend either the smoothbore or rifled version of Chiappa's rendition of the US M1842 musket in .69 caliber. First off, its .69 caliber! Who wouldn't want to send a bullet that size down range, and in smoothbore you can use buck'n'ball loads. Also while its still off in some areas, its always been one of the closest in shape, weight, and lines to the CW era original, which is always a plus.
Also you have the various reproduction P1853 Enfield's (I recommend the Pedersoli one), and US M1861 Springfields, (I also recommend Pedersoli here, Chiappa's have some issues).
Either way good luck on your search and welcome to the world of shooting black powder, for its addictive.