Group billing information populate to transactions

I am being told that the only way to get the group credit card to appear in transactions or balance details in accounts in order to take a payment on a group, the cc needs to be saved in the company wallet.  This will work in some occasions but not those that have a different cc authorization for each group that a company contracts.  So the 'billing instructions' in the summary is useless.  What is inputted into the billing instructions needs to be available when you go to take payment on the group.  Right now, if it is not in the company wallet, I have to input it again manually.  Thank you.