Seems to me Rogers could also be used at left 8 in our system, much as Trossard has been at times. That's got some potential benefits: rest Rice more, maybe use Rice at 6, maybe Rogers on the left with Zubimendi or Merino on the right and slightly less advanced, maybe emphasise the left over the right for a change.
With everything I know of Rogers my concern is he lacks weapons: seems he's just another versatile and durable elite athlete with a decently well-rounded football skillset. In other words Rogers seems a fairly typical Arteta player and no doubt will be useful ... but when are we going to sign just one more player who's got Ødegaard's next level of technique and intelligence? Trossard's departure alone is going to hit our overall football acumen pretty hard.