Wars aside, the military is a place where practical problems are encountered daily, and the solutions battle-tested at scale. It's reasonably safety-minded and cost-aware (spicy anecdotes aside).
Moreover, it's helps a lot when the research isn't walled off by stringent IP regulations.
To the bigger point:
> But is it ethical to use military-developed innovations?
That's complicated in the real world. Many good, moral things have been created or encouraged by immoral organizations, and vice versa. The US Government has sponsored the development of many different good, useful technologies over the years.
The reverse is true as well, though perhaps to a lesser extent.
You're going to deprive yourself of using it just because of who found it? That makes it pretty easy to deprive you of tools, if someone else using them will stop you from doing so.
In this world your existence is "unethical", in regards to a question like that, unless you want to live on a mountain peak above the messiness of ordinary human moral calculation and compromise.
But is it ethical to use military-developed innovations?