They are all that same classification, but that doesn't mean they are necessarily equal. There is variation within the classification.
When looking at the academics at Weber State, they are not a flagship by any means, but they do have a bit more depth to their academic offerings and the number of academic programs:
They don't have too much that is junior college/community college programs except for maybe the engineering tech programs.
SUU, on the other hand, well, there isn't too much of what they are offering in comparison. These are the academic departments on campus:
If you look at their "College of Science", they have a total of 4 degree programs in that "college", if you can call it that, which consist of Biology, Chemistry, Nursing and Nutrition. Why would nursing and nutrition be in a college of science and where is Physics?, Geology? Physics at a minimum should be fundamental at any college. Also, biological sciences are quite broad. They don't include Botany as a program, as well as entomology. It seems to lack programs and Nursing and Nutrition should be its own college.
Only their Education school and Fine Arts school and perhaps Business school looks to have some depth.
Their College of Humanities and Social Science looks a little scant too. This may be a problem too, along with the Science college for their Education college.
But beyond that, they are still somewhat of a junior college/community college with these offerings:
They also have some of the engineering tech stuff found at Weber State. This is where the Mathematics department is, which maybe should be in the College of Science and called Science and Mathematics.
SUU seems to evolve similar to how UVSC has and how Dixie State (which is still technically a junior college). Its the more advanced form of UVSC. UVSC, however is much more like a junior college that offers bachelor degrees. However, they have an enrollment of 25K, which is only exceeded by U Utah and BYU in the state (its bigger than USU). However, many of those students are likely a part of the junior college curricullum.
The other problem with SUU is its market. Cedar City is 22K, in a county with 35K. St. George, located only 50 miles to the south, is the fastest growing small metro area in the nation, with like 100% growth since 1990 (its doubled its population -- 45K to 110K in 15 years). But most of these people are retired people and this is also the home to Dixie State which has aspirations that UVSC and SUU have. Cedar City is also remote as it is 200 miles from SLC and 200 miles from Las Vegas and there isn't a big sized airport to get into there, although Delta does fly there, but I would suspect that a Cedar City destination is probably for cutting as part of Delta's bankruptcy and the need to survive as an airline.