I do wonder if it's worth the effort.
Splitting text chat from general console may be more or less be possible, with the limits which applied
to the iconographic obituary (console log and upper left notifications are strictly bounded. If you don't print something to the upper left area, it's not logged in console history). What you will need that the iconographic obituary does not currently have is keeping an history.
I can imagine a chat text area similar to the iconographic obituary area...but adding a key to open a log with previous messages (I have no idea if a such thing may be useful also for the obituary). Where to store it? A bit complicated thing may be including controls to scroll that log.
Map loading is very fast on nowadays computers... being able to chat during it may require major changes not worth it.
Note: consider I'm not actually a code developer. I'm just expressing my personal impressions...