If a driver does get involved in a crash after a single mile, it's very likely that they are not safer than the average driver. It could of course be extraordinarily bad luck, but that's unlikely.
This is not that simple. Emergency service vehicles are at a very high risk of collision when they pull out of the station and crossings close to the station, or when leaving a situation under time pressure. Busses are at an increased risk of collision when pulling away from a bus stop. Construction vehicles are at a high risk of collision when they pull away from a construction site at a busy road.
Hence why you need more data, after which average accidents per mile are a much stronger indicator.