Any rent accrues to the estate; and is not available for distribution until probate is granted.
Tax has to be paid.
Exec will be liable for repairs and maintenance.
Tenancy must be registered with RTB.
If you intend to sell when you have grant of probate, your tenant may overhold.
Worse still, legislation currently being discussed could be passed before you come to sell.
That would mean effectively that rental property must be sold with tenant in place which makes it very difficult to sell.
For the above reasons, if the exec chose to rent the property, I would consider they are *not* acting in the best interests of the estate.