How would a pressure sensor allow spark during cranking? Any override? Or do you just have to get it going fast enough to fling some oil around and make it catch?
Most have a 15-30 second override to allow the engine to start. On my splash lubed OHV Briggs generator the manual states that the low oil shutdown activates after 20 seconds. It lists that in the trouble shooting section for when the engine starts then shuts off shortly.
Once it is up and running, the low oil cutoff seems to work instantly. I was running my generator (mainly to just run some fuel through it) to power a grinder while I was fixing my laundry lines. The soft ground sank under one wheel causing the gen set to list to one side. I have no idea how long it was like that, I did not notice it until it shut off. I moved it, restarted the engine and it started sinking again. While I was moving it again, I must have lifted the front too high, as it shut off again. I then check the oil level and it was close to full. It is a nice feature, but I could see how on a job site if you do not have perfectly level ground, it could be a big PITA.