Let's use the same logic that you're employing here.
Let's take the percentage of all 'home nations' as the independent variable here, and see where that leaves us.
- 46.6% of the population of England voted to remain.
- 55.8% of the population of Northern Ireland voted to remain.
- 62.0% of the population of Scotland voted to remain.
- 47.5% of the population of Wales voted to remain.
In no instance there does that indicate that the "vast majority" of "home country" votes voted for us to leave.
I do apologise, the value is closer to 3.6/.8% on closer inspection - but that's still not a clear majority.