Unless a reputable source claims to have used that exact spring successfully as you desire to in a 4006, it is a gamble. The ends of the spring can cause problems if they are not sized correctly to the application, i.e. your mainplate and more importantly your alarm mainspring arbor. Shaping a tempered alloy spring if the inner coils is too big or too small is not the easiest thing to do, even with the correct tools.