I wasn't there. Not my decision. I will not second guess another pilot's decision.
Speaking only for myself:
If I was aware immediately of the tire failure the gear would stay down and rtf after burning/dumping down to mlw.
If the gear was already up when I learned of it and the route was over civilized land, I would carry on, watching systems, fuel, and alternates closely and taking into account ARFF capability at the destination. If the route was over water or uncivilized land, I would rtf or divert to the best alternate before heading into the scary north. 30 West is a little late to realize the problem is worse than you first thought.
A secondary consideration (running a distant second) is availability of maintenance at the landing field.
That's just me.
In this case, the outcome was good, so in my book the decision making was good. A good outcome is the bottom line.