I buy their story that it was a coincidence - if the JW knew of the death, she would've just lead with that.
Why would they intentionally do this 3 months after the death?
Could be a coincidence, but when people get called out for bad behavior the lying starts, oops I mean the theocratic warfare starts.
When my brother in law died JW's came to the house about a month later.
They told us they seen there was a death in the family and had a related tract they wanted to give me.
Waiting 3 months could be done to allow people to get their composure back?
JW's absolutely check the obits to gain vulnerable prospects for possible cult recruits.