Baking does not! Drying them does, though I do tend to carry some dry ones when I am home nonetheless. They are less potent that way, but they keep much better and will still do in a pinch!

[Here, he's not carrying much at all. No hands, no pockets, and the pack he bought is uncomfortable to wear at all times.]

There are other berries for other status effects, or just for healing! And some rarer ones that are extremely specific!