I have heard that the RPi system uses a Debian based OS that was "modified/compiled" for the RPi, and that the LO version for the RPi was compiled from the Debian-based source code to work efficiently on the RPi's specific architecture. The RPi speed is similar to a P4 300 to 700 MHz depending on the OS, the model [A or B], and tweaks to the hardware.
The good news for US, LO and TDF, is the RPi is near its 1 million mark of made/sold units and its default office package is LibreOffice. Even if a quarter of those some units have had the user installed LO on them, that will give LO a set of young [or no so young] users. The user count for that could be 200,000 or more world wide. Getting the young school kids started with LO should tend to make them want to use LO on more traditional and more powerful systems.
As for the RPi/Pi system. . . . .
It was designed for the education market. They are inexpensive basic one-board systems to help teach school age kids how to program in a few languages, like Python, and by using a attachable controller to be able to create simple [and complex] electronic devices/system for robotics and controller systems. They were meant to be low costing entry level systems for those kids and schools that did not have the budgets to buy all of the needed "units" for their computer lab to have one computer per student in the lab. Actually, with the SD card having both the OS and data/programs, the student could have a RPi at home and bring in the SD card he/she was using and work on the same OS and data/program in the school's lab. No need to have a networked server with student accounts and such. The RPi was designed to work as well as it could at the lowest cost possible to the schools and the kids.
Atom based, and similar, systems were not powerful enough for my needs for home/office and mobile needs.
So I forgot all of the tricks and tweaks that could be used in the slower systems still out there for used systems and for sale in the small foot-print system that have Atom and similar speed/power CPUs.
For me, even a single core AMD 3500+ CPU with 512 - 1,024 MB RAM desktop seems too slow for my needs. My Intel dual core T3200 2.0 GHz CPU and 3 GB RAM DELL laptop seems slow to me now. My new[er] dual core Intel Pentium B950 2.1 GHz with 4 GB RAM Gateway laptop is better, but not up-to my quad desktop I bought in Feb 2010. I needed the power/speed of the quad for my home/office use.