This is indeed a logistical problem, and not an inherent problem. It's also not a problem with weight.
Wind turbines and wind towers for those turbines are very different. Towers are large and bulky, built to be structurally sound. Interstate laws require that only so much weight can be put on any given set of wheels. Heavy, illegally-running trucks (liquid haulers, etc) can easily get much heavier, on fewer wheels. The weight problem is already managed, and oversize trucks are routinely checked, where other trucks aren't as much.
If smaller roads that happen to carry large amounts of truck traffic are getting torn up, then it's not surprising, given that trucks are trucks. This Texas road in specific is notorious for being undermaintained, and the Highway Department can whine, but they know they need to do something.
I seriously doubt that this remark about 'a big gouge in Route 1' was because of weight, but rather because of size. Perhaps it clipped an overpass. Perhaps (god forbid) it actually slid off the truck. Accidents are remembered, but gradual wear and tear on a road isn't an 'accident' that happens all at once.
Putting a truck laden with a section of tower can clog up a heavy construction area for hours. Can you plan around that? Yes, but only so much. Incidents will happen, and I distinctly remember one of these trucks knocking down all the cones in a construction area, because it was either the cones or the signs.
This is 'routine' logistical work for any oversize hauler. If someone's screwing up, fingers are easy to point. It may be the driver, or it may be that construction crew that was lazy with their cones, but it's manageable, up to a point. If you can't get it through no matter which route you take, it's too big to transport.
For states back east, it's messier still because the roads are smaller (you can't fit one of these around most of those corners) and the clearances are sized to match.
Eventually, wind tower construction companies are going to have to mobilize. Contract for several years here, and several years there, and it makes more sense to actually relocate the manufacturing facility for large products to save costs.