The greatest difficulty in finding the "best" note taking application is determining workflow requirements. Each developer makes decisions on what they feel users want but given the fact that we all have different needs and preferences it's an impossible task to satisfy us all.
I've tried several note taking applications in addition to the included Samsung applications and each that I've tried (S-Note, One Note, Evernote, Papyrus, Handrite, FreeNote) has its strengths and weaknesses. For my style of note taking the two that float to the top are LectureNotes and Papyrus so I use both interchangeably depending on what I'm trying to accomplish.
I think one of the reasons LectureNotes gets a nod from a lot of people is that it allows a greater degree of control during the note taking process. At the same time though it falls short on the exporting and synchronization side of things. That isn't to say you can't do those things but just that out of the box you'll have to find your way in terms of how to develop your workflow there. LectureNotes is my go-to note taking app for meetings because it allows me greater flexibility to adjust mid stream in a meeting how I want my notes to be organized. Cutting a section of notes and moving it around is simple, and organizing things in layers is also a great feature to have when needed. On the flip side, the complicated layout can be offputting to some.
Papyrus is something I love to use for annotating PDF files or taking notes on handouts that are distributed prior to a webinar/seminar.
For each I try to synchronize my notes onto my Dropbox either directly within the application (using sharing/export options) or using Dropsync app.
Evernote and One Note are great simple note taking applications with instant synchronization. It all depends on one's needs. They can't hold a candle to the more complicated applications though when one wants more control over page styles/backgrounds or more tools to make note taking easier.