Unity Lobby with different projects as clients/hosts

Hello everyone,

I am rather new to Unity and am currently starting to develop a 2 player asymmetric game. Asymmetric means that the two players will be using a) different devices to play (desktop and android, respectively) and b) will have vastly different abilities. For this, I have considered creating two different projects, one for each platform. These applications must communicate in various different ways, including voice chat, tracking entities' states (for example, a shared inventory's state), lobby creation, and search/join, etc.

Now I found Unity's Lobby and from what I've seen it feels very intuitive and easy to use. I, however, was curious as to if I could query for a lobby created with the mobile application from the desktop one and vice versa, and found this here:

From this, I gather that I cannot use Lobby for this sort of 'architecture', since I use two different projects for my game, and lobbies created in one will not be visible/discoverable to the other.
Therefore, my question is: Is this indeed the case?

Thanks in advance to anyone who may read and/or reply to this.