Slightly incorrect might be a better term and "no problem" is also slightly incorrect.

The fonts must be embedded and specified properly. I made an epub sometime ago that would not display properly in ADE using:

font-family: "Goudy", "serif";

but does display properly as:

font-family: "Goudy", serif;

I had forgotten that I found the fix to the problem and assumed that ADE had problems with embedded fonts.

Note though the fonts need to be embedded in the epub and not merely on your system.