Recreation of issue:

• Create a Host A
• Add Template X with Trigger 1 to Host A
• Create a Host B
• Add Template Y with Trigger 2 to Host B
• Add Trigger dependency: Trigger 2 on Host B is dependent on Trigger 1 on Host A
• Change Trigger 1 in Template X (name or expression)
• Previously added dependency of Trigger 2 on Host B to Trigger 1 on Host A is lost