> Culebra is only open one week a year from when I checked last year
In 2017, it was open for dates in June and July you could reserve in June and July. Normally, it's also opened in August, but they've closed it for wildlife reasons. But this is a different situation than what the fine article is about - Culebra Peak isn't public land blocked by private land; it's just private land itself. It's been private land before the National Forest and the Dept. of the Interior were a thing.
Access to Mt. Democrat/etc has been open since 2012. Only Bross remains closed. The closure in total is a sign saying, "summit closed". Again, different from the article where private land is blocking public access.
Many other 14ers are actually on private land, but access is not limited. Lindsey is one example - it resides almost completely in the Trinchera Ranch, which was just sold. But there is a conservation easement to Colorado Open Lands as part of the sale of the ranch - you can't develop on the land, and access to the summit is allowed from the Huerfano Valley.
Mt. Shavano's summit is also on private land as well, but the mining claim was bought recently by the CFI, and will be transferred to the NF soon.
http://www.14ers.org/mount-shavano-private-lands-acquisition...
From my experiences, easy access of public land is actually really good in Colorado. I'm sure there are issues, but they seem at least to me minimal in most of the popular areas, like 14ers.