They are trading as separate companies, and I don't believe the one has the right to offset against the other, but it might be better to err with caution and open an account with an entirely unlinked bank.
Regards, David Mond, Insolvency Practitioner for over 46 years. Personal Insolvency Practitioner of the year 2012, Personal Insolvency Practitioner of the year finalist 2013 & 2014 awarded by Insolvency & Rescue Magazine and 2015 finalist for Personal Insolvency Firm of the Year.