Credit Union NCUA account insurance

NCUA credit union insurance, like FDIC insurance provides insurance up to $250,000, per person. For accounts in joint names, the maximum insurance is $500,000.

 

Would I get an additional $250,000. of insurance if I open up an account just in my name at the same credit union?

 

I know I would if it was at a bank with FDIC insurance.

 

Two credit unions say I wouldn't get the additional insurance.. Does it matter if I add beneficiaries?

 

Thanks.