A corridor between the garage and the house would still be very nice.
For aesthetic reasons?
Or to have a covered access between the house and the garage?
For the latter, the garage could also be placed directly next to the house and an intermediate door planned.
Or – also with the garage directly at the house – plan the front door close to the garage and cover the corner between the house and the garage. The garage would then possibly be a bit wider with a separate access door next to the gates. This also creates a bit more storage space in the garage for lawn mowers, bicycles, tools, etc.
If a corridor open on both sides permanently means cold drafts, as described here, I would classify it as dispensable.