There's been a lot of research on roof fire sprinklers and how houses ignite in fires in the last few decades.
Wildfires usually are accompanied by wind. Either there's a strong wind driving the fire or the fire makes its own wind (which I can attest to having been a wildland fire fighter). Your sprinkler system needs to take that into account. If the sprinklers are on the roof spraying up, the water's going to get blown away from the leading edge of the house.
There's plenty on the internet about this, for example:
Before sprinklers I'd ensure that the roof vents are ember resistant. They make a lot of them now as they're required when building in WUI areas in California. Brandguard is one company. Blown embers getting inside via vents is a major cause of house ignition in a fire. If you watch footage people shot while fleeing the town of Paradise during the Camp fire you will see how bad the embers can be. There's a ton of info on the internet about this too.
One problem with a sprinkler system is having the water to run it, and deciding when to turn it on. It doesn't do any good if it will run for four hours on your gravity-fed water system but the fire arrives eight hours after you evacuate and turn the sprinklers on. Or if you're on a pressure tank and the power goes out. Fire crews often refill their truck's tanks while parked at a house during a fire, so you want to leave some water for them.