Java 7:Multiple exception catch block

Java 7 proposes a new syntax for catching multiple exceptions in a single catch block (http://www.javac.info/Multicatch.html). It looks like a neat feature to have and the new syntax is definately better than having multiple catch blocks with the same exception handling code.
So instead of -

try{
// Some code that throws ServiceException and WebsiteException
}
catch(ServiceException exception) {
Logger.Log(exception);
throw ApplicationException(exception);
}
catch(WebsiteException exception){
Logger.Log(exception);
throw ApplicationException(exception);
}

we will be able to write -

try{
// Some code that throws ServiceException and WebsiteException
}
catch(WebsiteException | ServiceException exception) {
Logger.Log(exception);
throw ApplicationException(exception);
}

So, we will be able to get rid of duplicate exception handling code and will make our code little simpler. Its a pretty obvious change and ideally it should have been identified and fixed before.

This new feature is useful, but how much ? I think this is trying to solve the problem that should not exist. In most of the cases, you should not be throwing more than one checked exception.It will happen if we are exposing the implementation of method and rethrowing the exceptions from called methods.
Even if we have more than one exceptions, we may want to handle them in different ways. So we can not combine multiple catch blocks.
Apart from that, whole lot people in java devs community, including me, believes that checked exceptions should not be used at all. Checked exceptions forces developer to write the exception handling code even when it is not required. Exception handling code gets mixed up with the business logic. This leads to cluttered and unreadable code. Worst part is that checked exceptions create dependency between a method that throws exception and all other methods that directly or indirectly calls that. It makes caller of the method depends on the implementation details of the method. And after coding in C# (which doesn't have checked exceptions) for 2 years, i doubt whether checked exceptions are required in language at all.
Looks like this is nice to have but not so useful (lame?) features in Java 7.