Depends on sub, amp and speaker size and what kind of sound you are looking for. My first thought is probably not, however, it will definately sound much cleaner after installing the Premier deck. It probably wont have much throat in the form of tight, powerful bass though.
The thing is, it doesn't really matter because if you are getting the new deck, you need the metra adapter anyway, whether you use factory or aftermarket speakers.
My advice would be to start with the HU/adapter and see how it sounds. If you are happy with it, go with it. If not, you can always upgrade speakers/