This is a great idea
It could have Output Presets similar to Bandicam (for those who want to edit the recording a bit and still have an 'easy upload' to YouTube/Vimeo/etc), perhaps even have the capability to add an Overlay of some sort (if one wasn't added in the Bandicam recording step), with some simple editing features (yet more complex than Bandicut). If it began to have a lot more features than Bandicut, it could even be it's own stand-alone program... called...hmmm...BandiEdit!
"Simply Edit, with BandiEdit"
I'm not good at making 'ad jingles', but I'm sure their company could come up with something for it.
Good luck with it, Bandisoft!