First off I love how the ride apps in India have really made it convenient for tourists to arrange a trip out of town without hotel prices or having to haggle with a driver to get a decent price. I also find this less discriminating and if you feel "guilty" that the driver doesn't earn Western standard you could always tip him. I did get a driver pretending the app doesn't work and renegotiate but don't fall for it. So this is an easy day trip from Hyderabad to see all 3 sites. The fort is probably the least interesting one.

After a few weeks in India the temples feel very jading. Try to recommend someone to see more and they will probably reject the idea, but if you are interested in an upcoming world heritage site and I'm quite certain it is getting inscribed, you may want to spend the extra time. If you only go to Warangal to see the two sites there you could theoretically squeeze it into half a day and do the Hyderabad sites in the afternoon, but that would mean getting up early.

As for the specific recommendation to inscribe it, that gets a little very specific. The evolving art doesn't seem clear from the tourist point of view. The temples are "nice" and great site to explore, the "thousand" pillars are a worthy sight (not as unique as they might claim but still great) and my personal favorite are the gates as pictured. I didn't like the fort much but neither was I impressed with other forts in India even the WH ones so I guess that's just me. Glorious is a little bit far fetched and I would also think the sites should not start naming themselves in that fashion, e.g. Awesome Amsterdam, Badass Brooklyn Bridge?