Do you have evidence this will work on your specific vehicles?
If by "basic 9V" you mean the most common PP3 form factor/size, you might find that not only starting with too low a voltage but that voltage dragged down even further because it struggles to supply enough current. While most vehicles in lowest power state only use (approximately) a couple dozen mA, anything made after the carburetor era tends to use hundreds of mA in the woken, yet still engine off, state. Hundreds of mA is beyond the design intentions of a typical 9V battery.
Considering this factor, if you have very little voltage margin as it is, I would choose a diode with a low forward voltage drop like a schottky instead of standard silicon. Cost for a single diode is low so no need to try to get specs that are barely adequate, so I'd get something capable of at least a couple amps (but possibly significantly more, see below comment about lights) and > 15V, but ultimately, I would want a power supply capable of 12V instead of 9V and that can handle far more current to handle situations like the interior lights coming on when the door is open. I could try to guess how much current that is but it will be far more accurate for you to just measure it on the target vehicle(s).
You can probably pull certain fuses to restrict what is drawing current to allow a low current, possibly 9V power source, but it seems more versatile to just build to handle any normal situation with no need to determine which fuses to pull and doing that.
If you were to use, say 9 x NiMH or 3 x Li-Ion cells in series, you wouldn't even need a blocking diode. That seems like the best solution to me, I'd choose 3 x 18650 cells for their cost:capacity ratio and being less fiddly than having to juggle as many as 9, NiMH cells, since 4-bay Li-Ion battery chargers are pretty common and affordable these days, and handy to have around for other Li-Ion charging needs anyway.
That 3 or 9 cell voltage is assuming you either recharge them before they reach their low charge voltage or the vehicle is tolerant of 9V or lower, which brings me back to the initial concern about how low the voltage can be.