Henan University, the registered trademark of Henan University belongs to Henan University, so when it is referred to as Henan University, it refers to Henan University in a legal sense.
In people's actual lives, there will be differences. When people in Henan say Heda, of course they refer to Henan University. When people in Hebei say Heda, they of course refer to Hebei University. Some people will also refer to Hehai University as Heda for short.