From my understanding of this the answer to your question is yes and the only way to overcome the two different banks is to have the account in joint names, but, in my opinion it is best not to have all your eggs in one basket i.e. split the savings.
[broken link removed] protects the first €100,000 of your deposit per person.
P.S. Have just noticed that the link to the Deposit Guarantee Scheme above is broken so I will contact CiaranT (who looks after same) and get him to fix it.
In the meantime the NCA explanation should suffice.