The Profiles in a Tasker App Factory made app can read manually (in a Tasker Action) set variables, but you're doing something wrong if you think the Variable Set is supposed to work in an Event or State. Instead, for instance, you can look at Profile > State > Variable Value
In ANOTHER action you must Variable Set. Try this, "CLEAR ALL VARIABLES" from the project, (just like the Factory App will, load, no pre-set variables..... Yes, no variables are exported, that's what I am saying)
THEN see if your project works and populates the Variables you need by Variable Set ACTIONS in TASKS (not profiles).
To repeat, when you Export As App, no variables transmit to the kid app from your Tasker set up, so ALL variables need to be Set (during an opening action etc ~~~~ Variable Set %MyVar to VarCustom if %MyVar ISN'T SET)