Regardless what the hungarian tax authorities require, you still have to make a return under Irish rules and pay the difference in tax to the irish authorities. So to me it does not matter which method you choose in Hungary unless I'm missing something.
If you have financed the purchase of the property through a mortgage then when you offset the interest against the rental income you may find that there is not too much taxable rental profit in Ireland so I think in in this situation it may be benificial to be as tax efficient as possible in Hungary.