Lyra appears to be a self-contained system that does not rely on a companion cloud service. As mentioned earlier, it has both app and web interfaces, which provide a disjointed administration experience. Not all features are available in both interfaces and the web interface does not contain all the features you find in the app.
I used the app for setup and it wasn't a silky smooth experience. The "onboarding" process relies on Bluetooth to make the initial connection and at some point switches back to Wi-Fi once network name and password are set. This process didn't seem as smooth as I've experienced with other Wi-Fi System apps, but it eventually got the job done.
I think I created a problem by having a LAN device and internet plugged into the root node Ethernet connectors during setup; Lyra couldn't sort out which one to use for internet. I also found Lyra's DHCP server kind of flaky. It assigned IP addresses all over the place and seemed to not like it when I moved a test computer from node to node for the backhaul tests. Once I gave that computer a static IP address in Lyra's 192.168.72.X range, I was able to run the test.
The first app screenshot trio shows the Network map, connected devices and detail of one of the nodes. Lyra is the first product that clearly and correctly shows backhaul connection topology of the system. But the app provides no other information about the connections or channel or band use in general.
ASUS Lyra app - Network map
Tapping the hamburger menu exposes the submenus in the left panel below. Screens for the first two options are shown. Guest Access can be enabled for 3,6,12,24 or unlimited hours and has its own SSID and password. Share this Wi-Fi sends network credentials via email, text, Android beam or whatever other communication options your mobile device has.
ASUS Lyra app - Network map
Traffic Manager is the first place you may run into a collision between app and web GUI settings. This menu sets priority by traffic type by dragging them to change order. But the web GUI provides access to a familar-looking (to ASUS router owners) Adaptive QoS screen where you can set device priority.
ASUS Lyra web GUI - Adaptive QoS
The second instance isn't really a collision, but a distribution of features. The app Family Members menu is used to create user profiles and assign devices to them.
ASUS Lyra app - Family Member
Content and internet access blocks can them be applied to each family member.
ASUS Lyra app - User blocks
Various statistics can then be pulled up for each family member.
ASUS Lyra app - User statistics
The web GUI does not have the web filters shown above, but instead provides the Trend Micro based AiProtection feature found on ASUS' RT series routers. Note that both AiProtection and Adaptive QoS are enabled by default. I found during router throughput testing this reduces both up and downlink routing throughput.
ASUS Lyra web GUI - AiProtection
The app Settings screen is pretty long, but I captured all the options in the composite screenshot below.
ASUS Lyra app - Adaptive QoS
There are no controls for Wi-Fi settings in either the app or web GUI, other than to set a single SSID and password for the main and guest networks. But the web GUI Wireless Log shows channel usage for the three radios.
ASUS Lyra web GUI - Wireless Log
I've tried to include most Wi-Fi system features of highest interest in the Finder database, so here they are:
ASUS Lyra feature summary
You'll node Ethernet backhaul and AP mode are not checked (green dot) above. ASUS says they are working on adding both features.
I'm not going to step through the web GUI options since they are found in most ASUS routers. The web GUI gives Lyra the most comprehensive set of routing options found in any Wi-Fi system yet. The web GUI is accessed at http://192.168.72.1 with your browser; it will redirect to http://router.asus.com. Even though each leaf node Lyra has its own IP address, attempting to access any node other than root gets you redirected to http://router.asus.com.