It's the standard thermostat wiring system for domestic central heating/cooling systems in the USA. From my somewhat sketchy memory, several wires are brought out to the thermostat. There is a 24 V AC supply, a ground, and various control wires for heating, cooling and circulation fan. I think the thermostat controls each item by switching the 24 V onto the relevant control wire to energize it. Google should turn up lots of info.
If there is such a thing as standard wiring! I think you will find it will be mostly vendor standards. Most older basic (ie: domestic) units will have mains rated controls. Why add a controls transformer when you don't have pay for one. But you will find 24VAC, 24VDC 32VAC and all mannor of other proprietary setups.
Cost is the ruling factor in domestic setups. So wiring was Common + Heat and Cool usually what else do you need for a bimetallic or capillary stat. Some may have a fan wire some extra stages.
Some of the older Honeywell stats had a heat anticipator, so you may find a 24V or 240V Neutral wired to these. Sensors with a control switch and indicator lamps may also have a neutral for the lamps.
Modern stuff anthing goes, with all manner of proprietary wiring and bussed comms. Interfacing to mass produced low end splits is a nightmare unless you are sure of specific models
That annoying battery was just the lowest cost way of offering a universal controller. And also a way of ensuring Clocks etc could run when the unit shuts down. The common active in a great many cases will be switched via an indoor fan relay and will only have juice on it when the fan is operating.
There are a lot of accessory devices on the market that can utilise the existing cable core and bus more signals across existing wiring. But you are going to have to modify wiring at the Stat location and within the unit.
Anything can be done, nothing complex about it, but within a rental the OP is going to be on a hiding to nothing trying to realise any payback or energy saving.