i cannot get [ctrl-tab] and [ctrl-home]/[ctrl-end] reach the shell inside, in some way distinguishable from usual tab/home/end. They are always transalted like plain [tab]/[home]/[end] (that is, shell receives ^t, ^EOH,^EOF regardless if [ctrl] is pressed or not). Near everything else is translated somehow, except these ones.
Terminal doesn't do anything special with these key combinations, so it's probably a bug in VTE. Please file a bug report to VTE.