This is not directly responsive to your question, but Chase did tell me that I could not hold more than one Ink card. I applied for Ink Bold and wanted to add Ink Classic. It wasn't just that I wouldn't qualify for a bonus, they said I could not have both open simultaneously. (This was front line customer service, I haven't pursued it further to see if the policy is flexible.)
If it will help you out, even a little bit mia (love the name btw); I still have two Ink biz cards. One carried on for 5yrs and the Ink Bold now acquired. No issues came up for the new card - so far. The first ink card had no sign up promo, so this may mean something. Otherwise, so far, as I am growing leery of chase, all is so far so good on two business chase ink, ink bold, and new sapphire without issues.