Yah, if you HAVE to go through it's preferred to go through instead of around. Most recreationists don't HAVE to go through and tear it up in the first place, and BLM/Forest Service/whoever almost always prefers that we turn around and come back another day when that happens. But that's just talking about public roads - if the mud pit in question isn't part of a designated open road/trail or open travel area, it's absolutely illegal to play in it.
About the only time we should be tearing up a muddy spot is when it's on private property with the permission of the land owner, or when it's a recognized "obstacle" on an established trail (i.e., the pit just before the end of Forest Lake), or when we absolutely have to (i.e., working like Carson, or when it's impossible/impractical to go back and find another way). I like that Forest Lake Outfitters has acknowledged his error, but I'm confused how an experienced trail driver ever thought that tearing up that meadow was acceptable in the first place - the picture in question is gone now, but that didn't look like he was on a trail at all.