These 6-10 mA numbers are pretty typical. The MAX41473 has several modes- idle at .3 mA with oscillator running, sleep at 1 uA with registers retained and some SPI (but no RF or Osc) and Coma 10 nA- off really. Generally you have to build a protocol (if you have control over it) that keeps the receiver sleeping and wakes every 2 seconds or so, your transmitter has a long preamble at the beginning of a session to get by the 2 second sleep cycle-( it will have to be at least 2 seconds). The trick is to build the LO on the receiver so it will start very quickly- this can be a challenge especially over temp, tec. There are some fixed timings you have to wait out for internal logic of about 2 ms, so if you get your XO up in 10 mS, you can be off 98% of the time taking your 10 mA down to 200 uA average. You can play with the numbers depending on the latency you can handle and your use case. If you almost never talk to it, you could stretch it to 30 seconds even- you'll just have to wait that on first use. You can also base the wakeup time on past history or system activity or time of day, etc. Bluetooth low energy is very low power and does these things transparent to you but the modules are a bit pricier- they need a processor (usually an embedded Arm M0) to handle the protocol and draw more active power.
Back 20 years ago, a lot of the receivers were super regens vs. today's low or zero IF superhets. Super regens can be very low power but they're kind of a mess, don't meet modern ETSI emission requirements (the receivers radiate) and aren't crystal controlled- the receivers were kind of a barn door selectivity wise and the transmitters were somewhat tighter. I designed car alarms back in the late 80's as a consultant in So. California (hot market) and this is how this stuff worked back then. The transmitter of that time often use a saw resonator (315, 433, 492) with a 1 transistor oscillator connected to a small PIC. Linear Industries- one of the pioneers in the garage door openers (made Craftsmen and others, etc) have some old patents that you could likely dig through. You might be able to buy these little receiver modules from China still. Continuous current could be 100 uA on the best ones. Fun to play with.