Here is some information on Matter and Hubitat :
I use Apple Home to pair Matter devices, then I generate a new QR code from Apple Home to pair it with Hubitat.
Note, that not all Zigbee devices are exposed via Matter Aqara hubs. Unfortunately, the Aqara Zigbee water leak sensors are not bridged and are not available via Matter.
This table shows the state of Aqara Matter Bridges device compatibility as of February 2024. There may have been changes since then, but I have not recently tested any new devices.
Although the tests were made using the custom driver, the results when using Hubitat's inbuilt 'Generic Matter Bridge' driver should be the same.
The connection between Hubitat and the Zigbee devices exposed via Matter bridges is fully local. Internet access is typically required only when pairing and setting up the devices for the first time; then, communication works without Internet as long as there is a TCPIP connection through the local router.
I don't have an Aqara T1 valve, but it is advertised as a 'Matter over Zigbee' device (a rather misleading term invented by Aqara marketing), so it is expected to work with HE - probably seen as a switch?