Aside from the fact that Starlink connections are or two orders of magnitude better in throughput and latency, the biggest problem with Iridium is the cost. It's just simply out of the realm of affordability just for the likes of streaming some videos or playing games in their off-time.
Now that I think about it though, the Starlink user terminals likely won't be able to survive the harsh winters at the poles. -30 deg C and low tolerance for high winds means this would be tough unless some type of non-obstructive sheltering could be provided.