No, no benefit at all. A 12v - 230v inverter would be by far the most sensible option for you.
If you connect two of your batteries in series to provide 24v your 12v habitation system will only have one to use.
Also two 110ah batteries in series will give you 24v but only 110ah which at a 50% discharge is 55ah which equates to about 20 minutes at 2000W using the inverter.
And finally there will probably be an issue with getting the solar panels to charge both systems unless you have more than one panel and a regulator for each voltage which will cancel the benefit of that much solar even assuming the solar panels will work on a 24v system at all.