If you’re ever truly alone, doing the right thing is always the right thing. However, if there is any level of cooperation with anything other than yourself, we need to do the right thing and we need to do it the right way.
If you work with a team and you get the job done, great. If you get the job done by running over everyone on the team, not so great. The correct order of things in any collaborative environment is to do the right thing the right way. That is the way to success. Find the right thing and the right process and do it over and over again. (Worry about innovating only after you’ve earned some influence and respect.)