You just see the old chat, And the tab list is saved on your client, So transfers from server to server (Unless the other server injects the tablist with other info)
Yes indeed it must have been an old tab, but the fact still remains that I could follow along with the chat of both servers. What occurred, probably, is that my client was slow on joining Snapcraft, then I disconnected the "Logging In...". while I disconnected it probably didn't fully force my client out of logging in to snapcraft; so when I logged onto my personal server my client relogged my previous attempt to snapcraft. Another thing to note is that the second I logged onto my personal server I got all the friendly welcomes, as well as being sent into a blue void.
I honestly don't think it is a big threat, but it should be considered to be looked at. A final fact I may want also note is that other players, such as
@Banna_Bliss , have had the same problem.
What ever the case, it is reoccurring.