I've been on multiple off-road trail drives where at least one newer Jeep Wrangler had it's start/stop system start fail in some way and couldn't keep running because of how Chrysler implemented the system on those engines.
One had to be limped home with an escort 15 minutes at a time, the engine would just stop while in gear and ignore the gas pedal until it was fully switched off and restarted, code reader kept saying errors in the start/stop system, etc.
The other one just didn't risk it, called a tow truck and opted to wait. Code reader also said start/stop system fault codes when we looked them up. Different Jeep from the previous one, BTW!
Start/stop is basically built in for hybrids, but for non-hybrids they're often just a boat-anchor mis-feature along with cylinder de-activation that mostly only exists to game EPA numbers.
A well engineered one that for example has an electric power steering pump and brake master cylinder that doesn't rely on the engine running to maintain pressure? Can be good.
But that still needs a MUCH stronger starter to survive even a single heavy-traffic commute where it will cycle 20+ times in an hour and only a few minutes in between to recharge, let alone years of that, and stronger/larger alternator and battery to handle the much more frequent rapid charge/discharge cycles, etc.
And at that point you're most of the way to a mild hybrid, so the good ones just get turned into a true hybrid model at that point.
So as a Prius owner? Good riddance to this, IMHO. It never really fits well on non-hybrids because so many other things are tied to the engine running and moving those off is most of making a vehicle a hybrid already.