Lamp modules send a "trickle current", so they cannot be used with Fluorescent Lights. Some applicance modules don't, so they might work. If you have any applicance modules not being used, try one and see what happens.
You might try a straight Appliance Module. The fact that it mentions incandescent and inductive loads leads me to believe it passes "trickle current". You want a straight appliance module which should not pass "trickle current".
On what are you basing this Blanket Statement?
To the best of my knowledge,
*ANY* X10-Manufactured PLC Receiver Module that has the ability to provide Local Control *MUST* also have Current Sense (aka "Trickle Current").
(I don't keep up with other manufacturers. I
vaguely recall a discussion that a SmartHome Module might have had a switch to disable Local Control, but I leave that up to the reader to research.)
Now, *IF* the User is comfortable working with printed circuit boards, s/he *COULD* disable Local Control via the instructions posted on Ido's excellent site (see my SIG LINK for more info).