But there was never a Chinese ideological opposition to peasants becoming rich; the theory advanced by AnimalMuppet makes no sense.
The assumption here is that every thing works in a clear way so you can see the military or whatever advantages of a particular phenomenon. Now I don't know if AnimalMuppet is literally correct that the bureaucracy simply shut down the steel industry -- but if it happened it would be because all that cheep steel was not being used for obvious things, like the imperial army, but for other unexpected uses. Maybe arms and armour still had to be made the old fashioned way anyhow, so there was no immediate military advantage.
More likely, things were subtler. Things innovations can strangled long before their importance is clear. Imperial China had a vibrant merchant class, but it isn't the kind of place that is likely to tolerate the "disruptive innovation" which fuelled Britain's Industrial Revolution -- where a bunch of upstarts come and do things with unexpected things. Even modern China (or for that matter the modern United States) struggles with it.
Vikings transported Crucible steel all the way from Afghanistan to make high end swords. Damascus steel(actually manufactured in India) and then forged into weapon in Damascus.. etc
There got to be other reasons. Better or equivalent to Crucible steel but en masss.. you can have forged plate for everyone, horse full armor, heat treated crossbow bolt heads etc.