If you feel that your splits are good quality and can be used by a greater portion of the community, there's not much reason not to upload splits. If you choose to do that, the process is fairly simple: navigate to the Resources page, scroll to the 'Splits' section, and then click on the … icon. There should be a menu item that allows you to add the splits there.

Keep in mind that there is already a method for sharing splits in Livesplit. If you go to the "Open splits" submenu, there is an option for downloading from speedrun.com. From there, you can download splits from anybody who has shared their splits to splits.io, and there will definitely be somebody on a board of this size who has done so.