I actually suspect that anything electrical or electronic in a car will be very tolerant of a fair degre of 'dirtiness' of the power supply.
You suspect correctly - at least for competently designed devices.
The spec for underbonnet stuff is "interesting" to say the least. Nominal voltage is normally around 14.0 V with engine running, down to as low as 12V when engine not running. Then when cranking, stuff needs to stay working down to 8V or perhaps less. Then allow for someone connecting up the battery the wrong way round (so -12 to -14V on your +12V input), and jump starting from a 24V vehicle - so 24 to 28V on your 12V input.
And that's only the benign stuff ! Load dump surges are a biggie. When you turn off a large load, the alternator takes a finite time to reduce its output - so the excess generated power causes a spike (much of which is absorbed by the battery). And then there's something like 20kV sparks, electrical noise from the alternator, electrical noise from stuff like motors, and so the list goes on.
And a new one, not yet common. Some are suggesting a move to 42V electrics (3x the current 14V) to reduce currents. This would (in practice) mean having two systems as there will be a lot of 12V equipment to be run for many years. What happens if the ground connection fails ? You have 12V equipment with connections to 42V equipment with potentially -42V on it's inputs.
But back to the OPs question. I'd also suggest a battery. Combine it with a float charger (it must be regulated if you don't want to have to manually switch it on and off to avoid drying out the battery). Unless you intend doing long tests, a relatively small AGM battery would give a similar discharge current to a larger wet battery - just leave it connected to a 13.5 to 13.8V float supply.
If you choose correctly, you can leave the supply connected. Some will trip if overloaded, but others will current limit and simply return to normal once the load is reduced. For example,
this one from RS is designed to float a LA battery, and simply current limits if you draw too much from it (either with a large load, or with a heavily discharged battery). I've got one in a project at work (some LED lighting with battery backup).
However the 13.5V will be slightly lower than you'd normally find in a running vehicle.
If you want the full 14V, then you'll want a higher output supply - and it'll need to be able to power the load of the battery voltage will drop.
And as a thought, how about a standard alternator (plus battery) driven by an AC motor (and belt drive to up the speed). With a 2 pole motor (3000rpm), a step up drive of around 3:1 or higher should suffice to emulate a vehicle with the engine running.