Some apps doesn’t accept some characters from the «Compose» key

The problem is that the compose key works fine, but some application doesn’t accept some characters from it. E.g. I can type the character in Emacs (Compose+8+8), but this won’t work in FireFox, Konsole and Kate. But many other characters, e.g. typed there (in FireFox, Konsole and Kate) with Compose work just fine. Also I may insert a problem symbols with a simple copy-paste (from any of two clipboards).

Bind C-i and TAB keys to different commands in terminal applications via .inputrc

For what I have tried, TAB and C-i in .inputrc seems to mean the same thing, whatever I bind to one is bound to the other. I know that originally, it was the same thing and that this behavior is kind of inherited from the old times but nowadays, apart from terminal emulators, all X applications makes the difference between a C-i and a TAB press.