Except for those who collect under various names.
In a totally unrelated item - Hispanic family tradition carries the surname of of both parents.
In another totally unrelated item - unmarried and “non-traditional” partnerships can result in more than one eligible recipient per household, or make the earnings of one partner not count towards the resources of the other.
Totally unrelated /s
Well even if they have various names they should not have various SS numbers.
I am not naïve enough to believe it doesn’t happen but even so it is no reason not to pursue a relatively simple procedure to reduce the fraud in the system.
Eventually the criminals will work around this but you have to do what you can do.