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From the parts (complementary BJT transistors and discretes near the connector) I think it's a non-standard RS-232 port that idles at 0V rather than -9 or whatever.
That will work with most RS-232 receivers- they typically have a threshold of + 2-3V.
The measurement of 0V idle would tend to confirm that.
That said, it's hard to be 100% sure, so there is some risk.
The idle level of asynchronous serial communication is logical "1". Unless the device is constantly sending a lot of "0" bits, you can use this fact.
If the wires transport so-called TTL levels, the idle level will be a positive voltage near the digital supply voltage. Commonly this is 5 V or 3.3V.
If the wires transport RS232 levels, the idle level will be a negative voltage, commonly between -3 V and -15 V. Many interfaces only provide about -5 V, so be prepared.
So measure the TX output in reference to Ground, you can use a simple multimeter. If it is some positive voltage between 2 and 5 V, most probably it is "TTL" level. If it is some negative voltage between -2 and -15 V, most probably it is RS232 level.
If you happen to have an oscilloscope, even better. Measure the TX output and look at the levels: TTL levels "swing" between near-positive-digital-supply and near-ground; RS232 levels "swing" between positive and negative voltages of similar magnitude.
I am reading a lot of different information on the internet. Some say that RS232 operates between -12 and +12, others say -15 to +15 and -25 to +25. Is there a set value for the voltages or can it vary with use.