What do you like best?
What do you dislike?
The only two things what i don't like is, there are some countrys where Azure can not be used they are blocked by IP, and sometimes the performance of Azure is low, the latency is too high but can be fixed selecting the best server for deploy your app/web app.
Recommendations to others considering the product
If you are app/ web app developer, you should know how to use azure, and lbs tool is just too good to be avoided when you are developing an app based on geographic location. There are tons of guide, videos about how to use azure lbs, and the user community of azure is really big, so use it if you have any question.
What business problems are you solving with the product? What benefits have you realized?
I use Azure lbs, when i make web apps based on gps, traffic, or any other location service, because it really saves time, you only need to add the API on your app using the authentication key, and configure it also is very easy to monitoring with Azure network watcher which mean i can always know the performance, latency of my app.