Unless it is a TC from the mfgr that can be mounted to either a SB or LB truck then there could very well be COG issues.
...my bet would be that a strictly LB camper generally will not work on a SB truck.
Sold the TC, previous owner of 2 NorthStar pop-ups & 2 Northstar Arrows...still have the truck:
2005 Dodge 3500 SRW, Qcab long bed, NV-6500, diesel, 4WD, Helwig, 9000XL,
Nitto 285/70/17 Terra Grapplers, Honda eu3000Is, custom overload spring perch spacers.