Reverse CAT?

Hi everybody,
it's about a month that I can't manage to do a proper WILD, so I decided to try other techniques. I've read that CAT is one of the most effective, so I decided to give it a try. But as soon as I must wake up every morning at 7:00 a.m., and I'm already tired during the day, I'd be more and more tired if I had to wake up at 05:30 a.m. every morning for a week. So I had an idea.
If I must lose one hour and a half from my sleep cycle, is it the same if I go to sleep one hour and a half later than normal for a week, but keep waking up normally at 07:00? Then after a week I'll go to sleep one hour and a half earlier so the REM cycle would be extended from 05:30 to 07:00, and that's the time when it should be easier to have a lucid dream.

The reason I want to do the CAT in "reverse" is because it's much more easier for me to go to bed later than to wake up earlier.

Do you think it's going to work? Or does the CAT work only in the opposite way?

The CAT technique works both ways. I used to wreck my sleeping pattern when I didn't have a life/job/etc, and I found out the easiest way to change it back was to stay up later each day until I was going to bed at a decent time. Anyway, in the process I ended up have a lot of lucids during WBTBs with them.