Public variable used in views can do or not?

Happy 2015 to you too!

Think of your situation in terms of coupling. If the data for your view can only come from $this->tableData, your view will be tightly coupled to your class. That means your view will rely on your class to supply the data. That could be ok, unless you can imagine a situation where the data could come from a different source. In that case, it would be better to pass the data via an array.