While I wouldn't repair this particular block,I am a repairer of items that most would not generally attempt. This is mainly due to the rarity of the mowers I collect and restore. This is exactly how Id approach this repair.

I understand your caution in removing the stud if it was already secure,as for sure if it was glued it would rip the thread, requiring a helicoil and more time.
Of course if you were starting from scratch,you would face off the remaining bracket and drill and tap your own stud. Since the bracket is low down the bore,and within bonding heat range, I would have used ht thread lock on your new pole or a ht retaining compound would have given it a stronger bond.

I think you've done a great job.

Whether the repair is worth the effort is up for debate, but I think Irrelevant, because as Grumpy has said, if you dont try you dont learn! Nor do others get to see alternate ways to solve seemingly unfixable problems.