Multiple LAN worlds don't display in the Play menu

When I click Play from the main menu, I’m brought to a new world selection screen. This new screen shows locally-saved worlds and occasionally shows a random one of my two LAN servers. If I wait and watch it, sometimes the one server that is displayed changes to the other one of my LAN servers. I see that there is a toggle to hide LAN servers, but that isn’t the problem. Even when it is showing them, my local servers never both show up.

I have two dedicated Bedrock servers in my local network. They both use the default ports, but on different computers. They have unique world and server names.