There is a plugin for Space Engineers that enables native analog support for the Wooting. That means no tinkering with Xinput or anything like that. Bindings will just work and can be configured through the regular game settings menu. The plugin runs on the client, which means that it can be used both in singleplayer and multiplayer.
To install it, just head over to the Space Engineers Launcher repo (https://github.com/sepluginloader/SpaceEngineersLauncher/releases) and grab the latest version. Put it in the steamapps/common/SpaceEngineers/Bin64 folder and run it. It will automatically download the plugin loader. There will be a new button in the Space Engineers main menu called "Plugins". It allows you to add and remove plugins from a curated list. Find the Wooting Plugin and enable it. After that it will (probably) just work.
More info and the official Plugin Loader install guide can be found at https://github.com/sepluginloader/SpaceEngineersLauncher
There are also video tutorials available on YouTube.
AliceDoesThings
https://m.youtube.com/watch?v=76pIEdxnfDg
Vortex Mods
https://m.youtube.com/watch?v=ywBYoDZHG-4
There is an issue with wheels and analog controls. The brakes and throttle are treated as digital (on/off), affecting the Wooting and other controllers alike. I have made another plugin, Analog Wheel Control, that addresses this issue until Keen fixes it. You can get it from the plugin list.
