I found this quite interesting as well.
A three part detailed statistical analysis of top flight goalkeepers last season with part one on shot stopping, part two on aerial ability and part three on distribution. Very interesting stuff and I'd really encourage anyone to take a read of it if you've got the time. It is quite honest about what it presents and there is some intelligence in the metrics they present with an understanding that obviously some numbers can be a bit misleading but there is an attempt to try and show things from all angles.
The conclusions on Hamilton are quite interesting.
On the shot stopping front, he's very good at not spilling things and actually catching - I think that is partially a cultural thing as British goalkeepers usually are but interestingly he's seen as average enough in terms of making saves in comparison with his peers, very close to Dieng but slightly above Lewis, Gordon, McGregor, MacDonald, Bogdan etc.
Moving onto aerial ability, this is where I worried a bit about reading about Hamilton. Dieng and Gillespie from Motherwell both rank comfortably the best in terms of how many things that they were able to take out the air, I thought that Dieng was superb at that and I think that stat does certainly pass the eye test. Again, Hamilton is very average in their analysis - a bit poorer in his own six yard box but slightly better than league average outside that area. Nothing especially horrific.
The distribution analysis is the one I'm probably most skeptical about as I think someone playing for a side like Celtic probably has a very different type of brief than someone for a weaker side (who really can't do much unless they have an outlet) but again, nothing really stands out there and I think a lot of it comes from the style of the teams.
You can take all of that however you like but I definitely think that overall, Hamilton was quite capable of being an average enough bottom six 'keeper and his spell in the first team from October to Christmas was probably a reasonable level of performance. I get that he's got his issues and can lose confidence etc but there's very little to suggest he's particularly bad when you look at the entirety of his game.