The greater risk is that the application is approved, but the bonus is denied because the system shows that you "had" the same card previously.
I actually asked about that. The person on the phone said the underwriters would see that I only had it for a few hours and make a decision. They sounded very reassuring without outright saying it would all work out. I'll report back for a data point. All of this is very nonsensical that they can't just add the bonus a few minutes after I applied, and that I could be denied for the exact same card, etc.