Weird that this has to be asked. When I was managing a lot of people, I didn’t have a clue what the ‘policy’ was. I just said ‘yes’.
It’s only been with the introduction of the recent HR manager that anyone has started to care who went to what funeral.
A few years ago, Mrs SR and I suffered a still-birth, and when my boss found out, he came to find me, and sent me home telling me he didn’t want to see me for two weeks.
What’s wrong with being human about such things?
To the OP: I would certainly consider that close enough for funeral leave.
Best wishes.