With due respect, if it were only that simple.
I grew up in a logging community and have spent many years there. Several of my family members have been loggers, so I will share a little info here.
Harvesting timber and thinning it out is all well and good, but it's just a fraction of the problem. Logging roads, spurs, and landings will only get you so far in the forest. In many areas, there aren't roads, and it's cost prohibitive and ugly to have logging roads literally everywhere in the forest. In addition, many areas just aren't accessible to log, unless it's done by helicopter, which is just too expensive to make a profit.
Next, you have other factors at play. There are many beetle kill trees, which almost no one wants because of the blue stain in the wood. In the areas you can access and log, brush piles are built from the slash, and they are burned anyway in the wetter months. Next, you have the problem of brush that is everywhere (Manzanita, Chapparal, and Scrub Brush) that quickly recovers, and is the fire ladder that get it into the treetops. When you thin out trees, it proliferates, and doing clear cutting is not popular with the general population.
Not to be ignored, is the reality that logging companies need to make a profit or they won't bid. If there aren't enough mature trees, it won't give them the ROI. Smaller diameter trees make that much more difficult. In addition, hauling distance also factors in. The further you have to haul the logs from the middle of nowhere to a local mill eats away the bottom line.
What I'm saying here is, it's just not that simple. You have to understand all the mechanics and elements. I'm not saying controlled burns are the only answer, but if there aren't other viable alternatives, it does provide a way to reduce the major danger.