Yes.....but HCG during cycle and a good PCT should address that.
Also, I've never had issues running Deca only, as it relates to Libido. I've done it many times. I've also run dbol alone plenty of times without problem.
If you try the cycle you suggest, you should drop the Deca one month before PCT. Make sure to use HCG throughout the whole cycle (300IU M,W,F).
Also, I would switch to 100 mg Prop ED during that last month so you continue to gain and make a clean transition into PCT. HCG on top of the Prop will work well. Then run a good PCT of Clomid and Nolvadex (HCG should be bumped up to 1500IU for a few days after your last shot of Prop and then discontinued).
BTW, why do you want to do this? Is it becaus you are limited on Test? If so, just wait until you have a full cycle.