If that isn't the case, then I'm a cog in a feature factory and that's not the job that I want to be in. I know that some companies/teams/managers approach work that way, but that's a very strong counter signal to me.
When I'm going on to my next job, do you think they want to hear what my responsibilities were or what I did at the company that made it succeed? This ties into why I think hiring is broken -- we hire for one set of skills and tend to expect delivery of another.