Here is a good work around for Revit 2017: Convert the Shared parameters to Project Parameters. You have to do this for each parameter, but once you do that, you can apply the parameters to an entire category, like light fixture for example. Then those parameters will show up in every light fixture family you load into that project.
You can do this in the project template, so you create the project parameters once, and never again. Or you can use the transfer project standards to copy the project parameters from project to project.
With the shared parameters loaded into the project, on the manage ribbon, pick project parameters, and then select "Add". Select the shared parameter radio button, then the "Select" box, and pick a shared parameter. Next, pick a category (or more than one category), like "light fixtures" and finally select OK.
Now when you load a family into the project, the parameters are automatically available in that family.
As another option, when you create a schedule, you now have the option to combine various categories in the same column. So if you have on light with a "Size" parameter, and another with a "Dimensions" parameter, you can schedule these in the same column.