I was more considering the wildfire-tipped arrows/bolts being used to besiege a castle/walled city, seeing as how the substance burns through stone. Because right now, apparently the most effective method of utilizing wildfire is using a suicide bomber, and I can’t see that working against a land fortress. Does anyone besides insane Targaryens and a creative Tyrion use wildfire in warfare, given how much trouble it is?

I still think that runs into the same problem – transporting, storing, and distributing wildfire is hugely dangerous. Hence, Aegon IV’s wooden dragons. 

But that doesn’t mean people aren’t going to use it.  My grandfather spent much of WWII riding around on dirt roads in India, in the summer, in a military jeep with leaky dynamite jostling around in the back that they would use to blow up railroad bridges and/or inconvenient hills that were in the way of railroad construction.  Leaky dynamite is incredibly volatile and unstable, and I’m kind of amazed that my grandfather didn’t get blown up a dozen times. 

Point being – generals can be astonishingly lax about safety protocols as long as there’s a decent chance at a good payoff. The issue with wildfire is that the odds of it blowing up in your face are really good, and it’s ultimately counter-productive – you usually want that town or castle after you’ve taken it. If everything’s on fire, you’ve just spent a lot of time and money to get nothing.