Carers Allowance Closing claim as overlapping benefit

Spicedpumpkin

We are a mixed age couple.
Myself IR ESA ,DLA high care, low mob
Partner SP, PIP High on both care and mob

My partner the older one at 66, was/is on CA  for myself ,but that has stopped in payment now,as an overlapping benefit to his SP.
However, they are still taking it out of my IR ESA as income.

He was advised to phone and CLOSE the CA completely so it would not be automatically be taken out. And that it was off of the benefits system as such.

Want I want to know is, he still cares for me, would we still get the Carers Premium in the IR ESA if he closed the CA completely as such ?

Or  do we not technically close the CA claim and just make sure that he gets zero payment ?

Also we will be asking for couple SDP rather than single after this.

Thanks