The component is split up into two parts: the remote receiver hub which handles setting the pin and some other settings, and individual remote receiver binary sensors which will trigger when they hear their own configured signal.
All depends on battery capacity - for a sensor application use the lowest energy budget solution you can - say an ESP01 that wakes on reset button. There are plenty of topics in the forum on the best battery powered solutions.
Not with the native ESPHome library, you would need to write your own transmitter and receiver component. But I believe the one you linked above just supplies the raw RF data.
I was just reading about these the other day - yes you can solder some headers and plug in both a tx and rx, you need the 4 pin ones by the look. Not the 8 pin ones that have duplicate pins.
I believe any 433Mhz chip that uses ASK modulation.
You can’t use a powerbank, it will turn itself off.
I used these. They work well (but I haven’t done range testing).
AU $4.77 5%OFF | Long Range 433MHz RF Wireless Transceiver Kit with Antenna Large Power 433 MHz Transmitter Receiver Module LORA Kit for Arduino https://a.aliexpress.com/_mMUurLe
Have you thought about other solutions such as buying a 433mhz door sensor?
What is the sensor/approach for detecting new mail?
AU $5.23 30%OFF | Sgooway 433MHZ Wireless door sensor Door magnetic contact detector for gsm sms WIFI alarm https://a.aliexpress.com/_mMMh7za
AU $4.04 48%OFF | ACJ Mini 433MHz Wireless Magnetic Door Window Sensor Home for Alarm System App Notification Alerts Window Sensor Detector https://a.aliexpress.com/_m0uO1LA
But sometimes low-power esp projects can be a little more involved than you might think.
For example, selecting the right esp with a low idle deep sleep current is important. As is making sure the attached sensors don’t draw current when in deep sleep.
Someone will have already optimised a 433mhz door sensor for fast response times and long battery life (hopefully).
This vid is a good one for esp32 deep sleep current draw.