I'd say yes, and here's why.
One of the many things I do is teach INTRODUCTION TO ELECTRIC ARC WELDING. In class we work with many electrodes. E6010, E6011, E6013, E7018, E7024 to name a few. We discuss techniques for applying fast freeze, fast fill and fill freeze electrodes, whip, oscillate and drag... but we also discuss storage. If an electrode is shipped in a sealed container it's most likely moisture sensitive and needs to be stored in a rod oven/hot box. Absorbing moisture will compromise its integrity and it will spit and sputter as it burns down. On the other hand if an electrode is shipped in a cardboard box just throw it on a shelf and keep it off the floor. The cellulose in the electrode will absorb ambient moisture but the electrode is optimized to burn correctly as designed with this. Don't put the 6011, 6013 or 7024 in a rod box because without the moisture they will run like $#!^ .... This is the same with wood especially if you have an EPA designed clean burning stove. Heat, air and fuel are combined in the correct ratio to burn effectively anticipating a minimal degree of moisture content. I'd suspect that if you burned super dry wood you'd at least suffer shorter burn times. Curious if the flue gasses would get better or worse.