I just tried again after closing and restarting SE, and the issue goes away - temporarily.
But if I use the ftp dialog extensively, it eventually gets into this state.
I have not been able to find a repeatable set of steps, but I can reproduce it by doing the following types of things many times:
1) type "/usr" into combo box, press ENTER
2) Click once on a file in the directory window of ftp. Press <ENTER> on a few directories, press backspace a few times to go to parent, use up/down arrows, press <ENTER> on some files to open them.
3) type my home dir "/home/<username>" and press <ENTER>
4) start typing something into the combo, then switch to another application (like Chrome), then switch back.
5) Open a file from the ftp and type a few chars into its editor window, but don't save it.
6) Open/close a workspace while a few characters are typed into the combo box.
After doing lots of repetitions of the above in random orders, eventually the ftp combo box gets into this state where it starts firing with each character you type into it.