Toyota’s approach to this matter is interesting. When it comes to the hybrid versions of the new Corolla, the SX variant gets a space-saver spare while the ZR hybrid gets a repair kit. But some of the other petrol-only and entry-level models get a space-saver and a repair kit.
The repair kit will work provided you’re familiar with how to use it and the leak in the tyre isn’t a huge, gaping gash in the sidewall. If that’s the case, you’re snookered. But if it’s just a nail you’ve run over that’s causing the leak, the repair kit will work. Even so, your next destination should be a tyre shop to have the puncture repaired properly.
Space-saver spares are another matter. While they’ll get you going again after a flat tyre, they can make a vehicle very unstable to drive at any speed and over any distance. That’s why they have an 80km-at-80km/h limit applied to them. But as an alternative to walking home, they’re better than nothing. But since some Corollas come with both a space-saver spare and a repair kit, why not lean on the salesperson when doing the deal and asking them to include one of each? Make it a condition of the sale and I bet you’ll get what you want.
The other thing to think about is what you’re likely to do if you get a flat tyre. Are you the sort of person who’s going to change a flat tyre themselves and continue on, or are you the urban-dwelling, roadside-assistance type who will call for back-up? If you’re the latter – and there’s no shame in that - then none of this stuff matters in the first place.