It sorta works.
- Data validation, like Conditional formatting, still doesn't work well with (or at all) table references. So replace those with absolute references. So =FILTER($F$10:$F$15,$F$10$:F$15<>3) for example.
- When you enter it Excel will report with "The Source currently evaluates to an error. Do you want to continue?" Answer Yes.
The dropdown will show up, but not work. However, in my test, it would not let me enter a 3, which is what I was filtering out of a simple list of 1-6. Entering anything but 1,2,4,5,6 would return a data validation error to the end user.
To make it as useful to the user as possible though, enter your FILTER() function on a worksheet, then point your Data Validation to the results of that function. It won't dynamically grow or shrink though like embedding it in the actual List Source box. But it will return a working dropdown for users.