Selectively prevent git push when using multiple git remote

I have the following git remote in my local.

$ git remote -v
dw      https://username@bitbucket.org/demandware/build-suite.git (fetch)
dw      https://username@bitbucket.org/demandware/build-suite.git (push)
origin  https://username@bitbucket.org/apgco/build-suite.git (fetch)
origin  https://username@bitbucket.org/apgco/build-suite.git (push)

By default, a git pull or push will connect to both remotes. I want to fetch from muliple remotes but only push to origin.

I override the push location by running this.

$ git remote set-url --push dw no-push

Now a git push will not push to dw.

$ git remote set-url --push dw no-push
dw      https://username@bitbucket.org/demandware/build-suite.git (fetch)
dw      no-push (push)
origin  https://username@bitbucket.org/apgco/build-suite.git (fetch)
origin  https://username@bitbucket.org/apgco/build-suite.git (push)

Further information from the git remote commands.