One thing to bring with your bug bag is good survival gear. If you have to go out with a bug bag in an emergency, there's a good chance you'll need a first aid kit in the next few hours.
One way to do this is to have a first aid kit attached to your mosquito net bag via the MOLLE attachment. This way you have a ready made first aid kit and bug bag when you go out. The most important thing is to have a first aid kit and know how to use it. You can also buy survival first aid kits for cars & workplaces online.
Image Source Google
There are a few things the Red Cross recommends in any first aid kit, but you should also pack items that are specific to your area. For example, if you're in a rural area, you might want snakebite kit or something against poison ivy. Also, be sure to pack any medications that you or a family member may prescribe.
You might even want to think about something like a stick kit. You may not know how to use it, but you will most likely meet a nurse or other person who is trained to use it but doesn't have one.
Remember that in a survival situation, you can't say what you might have to go through to get to safety. It is better to be prepared for anything reasonably imaginable than to need something and not have