That particular saying is not written in the good book, btw.
God helps everyone, whether they help themselves or not, especially if they ask Him to.

It is good to "put feet on your prayers" but not to the extent of not allowing God to work through you.
We can become so involved in what "we" are doing that we forget all about His will and way, imo.
In my thought for the day where I said to be careful to not try and answer your own prayers, that's what
I was talking about. Ask God for something, and leave it with Him for His timing and blessing.