Here's a link to where it's discussed on the megasquirt forums:
MSExtra Forums
Here's a screenshot of the first post, you're welcome to read more as needed.
View attachment 2685116
Also, if you google "fuel injection priming pulse" you get posts on any number of technical forums discussing this, including Megasquirt, Haltech, miata turbo, speeduino, etc.
No, toyota may not do it (and it makes sense they wouldn't given they don't run the fuel pump), but that doesn't mean no one else does. Since
it seems to be incorporated in all the aftermarket ECU info, I infer that it's likely incorporated in many OEM ECUs as well. I'm not an OEM engineer, so I can't say for certain. I can say even the microsquirt we wired into our racecar includes this feature, and it's a pretty bare-bones ECU.
Agreed, full sequential is timed per cylinder. Semi-sequential fires a whole bank of injectors at once, alternating 360 degrees of crank rotation.