That's an interesting map. The updated version of the map on the Williamson County web site, approved 7/21/2020, still has all the controlled access corridors.
https://www.wilco.org/language/es-mx/Departments/Infrastructure/County-Engineer-Road-and-Bridge/Long-Range-Transportation-PlanRealistically, very of those controlled access routes will ever be built. That map would have been better titled "Conceptual map of
potential controlled access facilities"
The only new controlled access highways that were moving forward until recently were FM 2243 between IH-35 and US 183, and the adjacent section of the Southwest bypass. FM 2243 was about to have its frontage roads built, but then the funding was shifted to IH-35, and I don't know its current status. It seems to be suspended indefinitely. One side of the frontage roads on a short section of the Southwest bypass recently opened, and the right-of-way for the full corridor is visible in aerial views.
Many of the routes in the map make no sense due to their proximity to other routes, for example FM 734 being so close to US 183A, and FM 2243 and FM 1431 serving the same directional movement so close together.
I'd be interested to know if Williamson County is securing right-of-way for any of those routes other than the Southwest Bypass and FM 2243. It takes a lot of money to buy up all the right-of-way. Just consider Collin County (north Dallas), where they've been busy for 10+ years (and spending a lot of money) to get ROW for a section of the Collin County Outer Loop.