Too many variables re insurance to debate here; depends on how long house unoccupied, location,.condition etc., and in fairness not the issue under discussion.
Ok so back to OP.
In regards to your question, the simple answer is probably not.
Starting proceedings now will definitely delay settlement of the estate. Legal costs will rise to silly money, which will cost you twice over. Estate will be at a loss and so will you.
If its an investment type property selling with a tenant could well be attractive.
Keep in mind that your relative chose this person to be their executor because they trusted them to manage their affairs. Maybe you should too.