Remapping CTRL-L, CTRL-K etc… as used in line/dictionary completion

Hello,
is it possible to remap <C-L>/<C-K>/... so that my mapping is invoked
when <C-L>/<C-K>/... is pressed during line/dictionary completion?

To see what I mean, define

imap <expr> <c-l> pumvisible()?'PUM':'BAM'

Then, using this text:

now and here
nowhere
no

and with the cursor after the last character in the last line, type
<c-x><c-l>, then <c-l> again. Instead of inserting PUM, Vim highlights
the last menu entry, clearly ignoring the fact that <c-l> is mapped. Is
that by design?

Thanks,
Life.

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