Ok, sure. Should we also ask them what they prefer to report as income and/or deductions? C'mon, who is listed first is hardly an issue, anywhere. FWIW, we're on my wife's insurance, and she's listed first, and I couldn't care less. She also earns more than I do, therefore she's technically the "higher taxpayer" but guess what, I'm listed first on the tax return! Doesn't seem to bother her at all.
I can just imagine the looks I'd get asking a client, if they have a preference who is listed first and who is second