A router is at the top of my list for “nice to have, adds a lot of value, but not absolutely necessary for basic projects” tools. I still don’t have a router table after 6 years, just a Makita plunge router that I got for $100. Great tool, but not 100% necessary if you’re just trying to make basic tables and such.
I’d agree with router before a drill press, miter saw, bandsaw, and a jointer. However, for simple furniture projects, I’d argue a planer is the second most important tool behind a table saw. You can use a planer with a sled for face jointing, and a table saw sled for edge jointing. Yes, you need a router for edge profiles, but not for dead simple tables and cabinets.
Exceptionally versatile tool, and necessary to take you to the next level, but not more important than a planer.