Basically, yes. But management consultants are often brought in to look at a group or a process, break it down with a defendable methodology / framework, and recommend improvements based on the client's goals. Most management consultants also bring in systems integrators to implement the recommended changes. The margins on systems integration projects aren't nearly as high, but the volume of work is usually higher (a management consulting project is usually under $2 million, while systems integration contracts can go into the hundreds of millions of dollars).
Much of what I've been doing recently has been helping development organizations at large companies convert to "modern" management practices. Things like bringing your ops folks into the dev team as DevOps, how to structure teams to manage automated testing, planning how dev environments (i.e. CI environments) should be structured and used so that continuous delivery is an option down the road, etc.
I happen to focus on software development and technical operations because that's my background, but there are people doing this for manufacturing, shipping, call centers, etc. There is sort of an "ideal way" (aka "best practices") for most companies to do most things. HN might cry "No there's not!" but this is actually true because most of our clients are too big to really be innovative. It can be hard for an insider to see what's working and what isn't. Also, because I move from client to client relatively often, I get to see how a lot of different companies do things, so I can bring perspective that someone who only works at one company all the time can't.
And usually, it doesn't matter if the manager trusts my opinion or not. Either myself or someone else from my firm has developed a trust relationship with someone higher up in the company (usually a VP who has a discretionary project budget) who has brought us in to help. The core of the business is trust: that's why you have to be a likable person capable of building lasting human relationships. It's in both parties' interests to maintain these relationships; the consultant uses them to sell work, and the client uses them to solve problems. It's a win-win.