It's not exactly plaintext versus binary. Git "stores" a copy of every file, no matter the content. But it also does "delta compression" between objects when you run "git gc"; it tries to find binary diffs between objects that are similar. So the poor performance comes from files that don't "delta" well.
These tend to be things which are compressed or encrypted, where a small semantic change can cascade into a lot of bytes changing. Of course, binary formats often do both of those things. And the larger the files, the more painful it is when it happens.