That should be the case GNW. I have only ever known and been involved with people who are on the old State Pension who are eligible for Pension Credit. I was told, by some on the New SP, that they cannot claim it. Perhaps, they too were just getting the New SP but nothing more.
There are some benefits that are automatically paid to those eligable for PC. If you are on the edge of it you may well be able to claim. You might not get the whole amount but even a proportion can help. They are:
National Health Low Income Scheme
Housing costs, including support with Council Tax, support with rent, support with mortgage payments and support for some service charges.
If you are a carer it's worth claiming Carers allowance. You cannot get Carer's Allowance if you are getting a State Pension that is more than the amount of the Carers Allowance. However, you can still qualify and they will send a letter confirming your 'underlying entitlement' to Carer’s Allowance. This can be financially beneficial, as it can increase any means-tested benefits you are currently getting. Or it could mean that you become entitled to means-tested benefits for the first time (depending on your and any partner's income and capital).
Up to last year, although you would not be part of the core group, you would be able to claim Warm Home Discount. They have changed the claiming criteria for this year but it would still be worth trying.
I expect you know all this but perhaps it might help someone.