I had this rose several years ago but I didn't have a good spot for a climber--it was only getting 4 hours sun daily. Even so it bloomed periodically and had really lovely soft orange fragrant blooms. I think if it had had proper sunlight it would have been terrific. I ended up giving mine away. Unfortunately, a couple years later it drowned when New Orleans flooded. :(
It does need preventive spraying for blackspot, which I'm sure it was more susceptible to because I had it too much in the shade and without good air circulation. If you can grow typical hybrid tea roses, you certainly can grow this climber. In the time I had it, I did get a lot of compliments. It's a beautiful rose.

The blooms are very pretty. Mine has never really climbed though. I've seen one in another garden climbing(though modestly)

I have this rose and I love it. Here it is fortunately rather apricot-peach not orange. Mine is on a tuteur and it reached the top quite soon. However, this rose needs regular deadheading because it forms huge hips right after the first flush. It can be trained but it is not a rose with slender very flexible canes. So you should decide that after considering these two drawbacks if RS is suitable for your chimney or not.

I also grew Royal Sunset in less than ideal conditions and it produced beautiful, fragrant blooms. The colors varied with the temperature which made it worth a visit several times a day! It also has more of a hybrid-tea form than most climbers. Taking care of a BIG climber can be a big job when you need to deadhead so as long as you're not looking for a 2-story rose I'd say-- plant Royal Sunset. It's outstanding!