Homebrew: yes
Game backups: not without either a hardmod, DSiware downgrade with another system with custom firmware, a Gateway, or Sky3DS.
The Black Friday $100 n3DS supposedly come with 11.0.0-33, according to reddit.
So, if I have a 3ds with cfw, and I am planning to buy this new 3ds, I should be able to downgrade the new 3ds using the dsi downgrade? I haven't really been following the community since last winter.