Briggs already has electric start engines for walk behinds. Small light weight starter, small stator, and flywheel with a ring gear added to the engine. Don't remember the model off the top of my head right now. Then mower OEM adds a small gel cell battery pack and wiring for a key switch so they are started just like an electric start rider.
Yes the ones I have seen are on SP mowers. Wasn't that hard to push without the SP working. But of course the kids complain even having to walk behind a mower here. So much that one customer got an el cheapo manual reel mower just so his son would appreciate the SP mower.
So going to EFI wouldn't be a problem once they figure how to get it to work properly having it easily serviced, and is durable.