Logic Pro X is excellent for anyone already in the Apple ecosystem because it's based on a similar style of user interface and integrates well with other Apple products (iPad, etc.). It's great for recording live instruments, as well as electronic music production and podcasting, etc.
It is simply easy to use and serves the function that it needs to serve. Once you get the hang of the basic functionality and a few of the keyboard shortcuts, it will be extremely easy and quick to write out music. The option to go back and transpose to another key without writing the whole thing out again is crucial.
Like every DAW, it takes some time and getting used to, but Logic's tools and interface just make sense to anyone who is familiar with Apple products and music tools.
The user community of Logic Pro X is vibrant, responsive, and lively. There are many great forums out there where you can solve any problem you encounter, whether it's sound card latency, a certain plugin not working, audio routing, multitrack issues, or virtually anything else you run into. The community is so helpful that I'm giving Logic Pro X a 10 in this department, despite having never contacted their official support department. I've never had to, since there is such a great user community.
Once Sibelius is purchased, the user is given one year of unlimited free customer service to help in using the product. After that first year, users can either pay to utilize customer service with questions or use online helps, which are very helpful. One of the bigger issues I had was getting the sounds to work properly because my Internet connection wasn't consistently working well enough to accommodate the large files, which were taking up to 10 hours to download. The download would fail, and then I'd have to start over. I wanted to get a CD sent to me but was told this would be very costly, and so I declined. I wasn't happy with the lack of customer service in that situation but was eventually able to get the files to download and the software working properly.
Logic Pro X is like the big brother to GarageBand - it can do SO much more and has many more attractive features. The workflow and interface are similar enough to make onboarding a little easier if someone has used GarageBand, but the effects and plug-ins of Logic make it a far better product in the long run. Logic is able to utilize more of the computer's power, as well, taking full advantage of Apple's processors in bouncing and rendering the final products
I have not used Finale exclusively, but I know friends/colleagues who have. In the past, it was complicated to transfer and edit any of the music they created for me because it would not transfer to Sibelius. As a result, I would have to request the edits I wanted and ask them to make the changes themselves. If I wanted to make any changes later, it was extremely inconvenient to do so, and I often chose not to, as I did not want to bother anyone other than myself to do any edits after-the-fact. Though it is now possible to transfer Finale files to Sibelius through creating .xml files and then importing as .sib files, the files still do not entirely retain all of the integrity of the original composition (as completed in Finale). Sometimes text and markings are missing, microscopic, or shifted once opened in Sibelius. Text fonts must often be edited. When working with other major music publishers, it has been extremely convenient and helpful to have the same software.
Powerful sound tools, centralized in one place for relatively very little money (when we purchased it, it was $200/user for a perpetual license)
Simplified workflow, since we handle all our sound needs in one place
We used to do our sound editing and mixing in Adobe Premiere, right along with the video. Moving sound production to FPX has DRAMATICALLY improved the quality of our soundtracks.