[[ and set -E vs trap ERR

[Isaac Good]

Configuration Information [Automatically generated, do not change]:
Machine: i686
OS: linux-gnu
Compiler: gcc
Compilation CFLAGS:  -DPROGRAM='bash' -DCONF_HOSTTYPE='i686' 
-DCONF_OSTYPE='linux-gnu' -DCONF_MACHTYPE='i686-pc-linux-gnu' 
-DCONF_VENDOR='pc' -DLOCALEDIR='/usr/share/locale' -         DPACKAGE='bash' 
-DSHELL -DHAVE_CONFIG_H   -I.  -I. -I./include -I./lib   -march=i686 
-mtune=generic -O2 -pipe
uname output: Linux arch 2.6.31-ARCH #1 SMP PREEMPT Fri Oct 23 11:12:58 CEST 
2009 i686 Pentium III (Katmai) GenuineIntel GNU/Linux
Machine Type: i686-pc-linux-gnu

Bash Version: 4.0
Patch Level: 35
Release Status: release

cat <<-EOF >test
        #!/bin/bash -e
        set -E
        trap 'echo >&2 "error"' ERR

        echo TEST1
        if [ $(false) ] ; then
                        echo 1
        fi

        echo TEST2
        if [[ $(false) ]] ; then
                        echo 1
        fi
EOF

Expected output:
TEST1
TEST2

Actual output:
TEST1
TEST2
error

The [[ masks the fact that an 'if' is running - but only in regards to the 
trap. bash does not exit on this error but the trap is triggered. 
[ works fine.
With set -E, the trap is inherited by command substitution, but the fact that 
the trap is suppressed is not.

<\amethyst> but the manpage says the ERR trap is avoided under "the same 
conditions obeyed by the errexit option", so at least the documentation is in 
error if nothing else