I don't think that is what the OP is about. I am assuming
(and I could be wrong) that what the OP is about is remixing songs that have been done by someone else and the music was all done to a click and that
David is interested in doing a remix of that song. Which involves working with the stems and adding in new material, taking out old material etc.. Creating a new piece of music if you like.
It is actually more fun and interesting to do this rather than attempting to do a remix of your own material or even a cover that you have covered.
The real interest is working with material that you have not heard before. And doing something interesting with it. Most of this type of material has been tracked to a click and what I suggest is actually the right way to go about it too. Once you line up the beginning and the end of the music to your DAW grid and this usually only requires a very slight change to the original tempo then you can work with loops and stuff because they will in fact play real nice against the stems that you have imported.
Music does not have to be non click based in order for it to be good. Some of the best music I have ever heard is quantised etc.. It comes down to how it effects you at the end of the day. And music that effects you can be either very grid based or totally free. It does not matter.
So
David remixes are fun and interesting and quite challenging too. The only problem with it is that it can take up many hours of your time and you will more than likely not get paid for it.