Opposing the tool is not really going to get you anywhere. From the outside it will just look like you are resisting the integration with the bigger company and all the baggage that is going to come with not being "a team player".
For entertainment purposes only: fight fire with fire. Make a case for improving developer productivity by implementing a ticket quality score and use it as a metric. After all, the better the ticket the faster you can start work on the problem, rather than having to go chase down all the issues and requirements. Management will be rather annoyed at you flagging all their one sentence tickets as inadequate. As I said this is for entertainment purposes only. It's fun to make a point, but push quickly becomes shove.