In the current day, the non-bitmap fonts such as Consolas don't translate well when using things like RDP or other remote tools. Partially because you lose things like font smoothing which make them more readable and partially because of compression artifacts obscuring characters.
Your last sentence is confusing to me. RDP supports ClearType, and lossy compression is disabled by default (and only arrived in what, 2008 R2?.)
http://blogs.msdn.com/b/oldnewthing/default.aspx?PageIndex=2...
TL/DR; The font has to support all the needed characters, plus not have have overhang etc which keeps the font from 'going outside the box'.
Let me restate GP's question: "Why do all Windows consoles use crazy thick fonts by default?"