Do either Freedom or Freedom of Movement allow you to move normally over difficult terrain or prevent being slowed down by encumbrance?
This spell enables you or a creature you touch to move and attack normally for the duration of the spell, even under the influence of magic that usually impedes movement, such as paralysis, solid fog, slow, and web.
The subject is freed from spells and effects that restrict movement, including binding, entangle, grappling, imprisonment, maze, paralysis, petrification, pinning, sleep, slow, stunning, temporal stasis, and web.
So neither spell specifically mentions difficult terrain or encumbrance, but both can affect movement speed.
There are other spells which address the difficult terrain and armor, but none seem to directly mention encumbrance from weight (not counting Ant Haul since it increases carrying capacity — that helps but does not actually ignore or remove the condition):
For the duration of this spell, the subject ignores the adverse movement effects of difficult terrain, and can even take 5-foot steps in difficult terrain.
Armor you wear no longer reduces your speed.
So, what are Freedom and Freedom of Movement's effects when you're slowed by difficult terrain, armor encumbrance, or weight encumbrance? I am most interested in answers for Freedom of Movement, as I am more likely to cast Freedom of Movement since it's a lower level spell.