There is no reason to expect a tissue cultured plant to be different from a vegetatively divided plant. The answer is that if you have a tissue cultured plant, and the same cultivar that was vegetatively divided and you use them as parents then there will be no specific differences in their seedlings.
A vegetatively divided plant (digging a clump and dividing it into single, double or multiple fans) relies on the plant taking normal cells and supplying them with the appropriate conditions to make them turn into special cells that become axillary meristems.
A tissue cultured plant relies on providing normal cells with the appropriate conditions to make them turn into special cells that become meristems. It attempts to duplicate the types of conditions that plants themselves use to create axillary meristems from normal cells.
I find it interesting that no one worries about using proliferations as normal divisions. Actually proliferations are quite abnormal. They require abnormal conditions in the plant for their creation. In normal conditions the reproductive meristem creates scape branches and flowers. For a proliferation to be created the reproductive meristem experiences abnormal conditions that cause it to become a vegetative meristem. Those abnormal conditions will probably involve abnormal plant hormone conditions.
