I've heard other people say this too, but it must be a workflow or use case thing. I run Firefox as my browser of choice on Linux, Mac, and Windows every day, and have for 10 years at least. I do remember a time when memory was an issue, but those problems have been resolved for a few years. I routinely have dozens of tabs open, often with Flash video or lots of javascript, sometimes 50 or more (with the excellent TreeStyleTabs plugin for hierarchical side tabs) and I have never had these problems. I restart my browser maybe once a month, usually along with OS updates.
Interesting that you are talking about RAM, but it's hard to beat Firefox memory usage among major browsers. I'm impressed on my computers how Firefox takes ~750 MB of RAM and Chrome with the same tabs takes ~1.4 GB RAM.