I agree, why add a step, unless you're looking for something to gather the info, so that you can prepare the new signature cards? Does your bank have a business account "switch kit"? Basically a form for business development or customers to use when they are going to switch banks? If you Google "business bank account switch kit" you will find lots of examples on different banks websites. These aren't for changing signers, but you could take one of those and modify it to just the information you need for the new signers. Basically I assume you'd want to take all the info that you need from the signature card and put it on a form, generally that's part of these "switch kits" that are out there. Just a suggestion.
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