Not particularly, given that such a vessel doesn't need those polar classes for its designated roles. One has to understand that the higher polar class that is integrated into a design, the more rigid of a traditional icebreaker it becomes. AOPS is able to operate abroad due to its lower ice rating and specific design requirements to do so, but fundamentally there is many tradeoffs required by heavy icebreakers that makes them only suited to those roles.
Higher polar class ratings drastically increase the complexity, build time and cost of designs, so it should not be applied recklessly.
Arctic BMD Polar Icebreaker is an immensely silly and costly program that I hope the Govt would steer far away from, unless they've all fallen to the brain worms.
Fundamentally, the USCG and CCG are different organizations with different mandates. The constant comparisons aren't really useful or much appreciated by the CCG staff themselves. In order to do what the RCN does, you'd need some weird DFO/CCG/RCMP crewed hybrid vessel, which is an immense amount of work compared to what we're doing now.