While stabilization is not yet realized in LumaFusion, I can advise you to stabilize the original clips in the Deshake
or Emulsio applications.
The strength of the stabilization effect depends on the trimmed area of the edges of the original clip. The value of this stabilization zone can be adjusted.
As far as I know, the proposal to add the video stabilization function has already been added to the application development base.
All requests are posted in a separate section of the forum: Report Bugs and Request Features
I processed this video with the applications of Denoise and Deshake
and send the result to TS.
The settings were as follows: