I too am missing the punchline. Sounds like synthesizing hydrocarbons directly would probably be simpler and would not require changing any existing infrastructure.
I don't know what this LOHC stuff really is, but it's easy to imagine that dissolving H2 in in an existing liquid would be much less of an undertaking than inducing it to become C8H18 or whatever.
While the 'used' oil is being stored, to be 'reloaded' with hydrogen by whichever means.
So the 'carrier-oil-component' is the reusable thing here.
All while being able to be handled, stored, transported similar to diesel.
Supposedly.
shrug