There’s no situation that can be solved by increasing speed at this velocity. You simply won’t have the time to react. Unless, of course, you’re trying to outrun a train in a car chase in a movie.
But if this is your fear, you should probably drive an off-road motorcycle so you have more options to get out of town when the disaster strikes, limiting yourself to the roads sounds risky.
But it is an edge case.
- In a forest fire or in a storm visibility is low, so you wouldn’t be able to drive at speeds over 112mph anyway (see any footage of people driving through forest fires).
- A tsunami’s speed doesn’t exceed 20-30 mph on land
- a pyroclastic flow moves at 100kmh (62 mph)
In any case these edge cases do not outweigh the lives (potentially) saved by capping a car’s speed.
To escape the tsunami, you first have to drive down a road that runs along the beach. After doing that for a while, you may then turn onto a road that takes you away from the ocean.
Visibility is usually fine in a storm. Hurricanes have intermittent periods of severe rain and insignificant drizzle. Forrest fire visibility all depends on the wind direction, and is often fine if you aren't already surrounded.
At speeds over 100kmh (62 mph) you gain only 36 seconds or less per 10 kmh (6.2 mph) of speed increase per 10 km (6.2 miles) of distance.
So, you need to be in a dire situation, already traveling at top speed, on a road that doesn’t lead away from danger, where ~30 seconds of time would make a difference.
That’s a lot of ifs and edge cases.
When reality usually looks like this: https://youtu.be/coPW6unxeY8 (a three-point turn before tsunami) or this: https://youtu.be/7J6O4HkKxlo (driving through a forest fire)