And honestly other eng teams kind of are your customers. They may not pay you directly, but they also help to build your product and the company that cuts your (and everyone's) paycheck.
If my coworkers need my services, then that's because they are developing something that a customer needs. I think of it like a dependency-tree. As long as you trust your company to not have multiple teams develop something that will never see the light of day, or something the user doesn't want or need, then this mindset is absolutely a good one (Sadly been there, done that too).
Btw this can be true of other departments as well – for example, SaaS product marketing is often an entity that exists to serve internal "customers." Product management can be envisioned this way as well.