Hello Bjorn,
No, there is not an option to display a home coverage time within the dispatch console. This only will display activities, basic shifts and private activities.
A similar question to this was asked but in relation to standby shifts (you could consider home working stand by shifts in a way):
From the linked topic:
Questioner: This is why I’d prefer to use this ”standby” background information.
Answer: Currently this is not in our roadmap, however, please raise this as an Idea in community for IFS cloud , we will then track it and if we get more feedback and votes, we may consider it in the future for IFS cloud dispatch console.
The way the design is right now, your option to display private activities is the only way to convey this on the dispatch console.