So does the iPod have a way of recognising the type of charger?
Yes, and the mechanism for it has been explained several times in this thread alone.
If it does then the standard should have been backward compatible so that the iPod would charge from anything that could provide enough power.
And how exactly would that backward compatibility work? It's not like MagSafe (which uses 1wire to tell the computer what kind of charger it is), it's just voltages on the data lines, created by a simple resistor voltage divider in the charger. The iPod can detect the adapters that existed when that iPod model was released. There were no 2A chargers (i.e. 2A on one port) until the iPad, which was introduced years after the final iPod classic was released. So whatever ID voltages Apple chose for 2A, the iPod would not recognize because it came later.
Properly designed USB devices don't just start drawing 500mA without asking (it's not allowed by the standard). It either needs to negotiate with the USB controller, which will tell it how much power it may draw, or use some kind of ID system for dumb chargers. What you
don't want is the "charge from anything that could provide enough power" because that could result in the device drawing power from a USB port on a computer that has not approved that much current. Doing so could work fine, or it could result in either a fried hub, excessive voltage drop, the whole USB bus shutting down, etc. (And indeed, some cheeky "fast charging" cables do just this: disable the data lines so that the device cannot negotiate, and use resistors to create the ID voltages to tell the device to draw lots of power, without the USB controller's consent.)
Just because a $2
Chinese USB "hole warmer" pulls 500mA straight off the 5V line with no current negotiation doesn't mean it's good practice.
If they have multiple standards going then they have simply been reckless and inconsiderate towards their customers who they expect to buy "i" everything's
They've got one standard, but it's been extended necessarily over time. Older devices simply have no way of knowing about chargers introduced later.
Now there is a USB charging standard (USB Power Delivery). But a) old devices like the iPod don't know about it since they came before, and b) if Apple changed its chargers to the USB Power Delivery, then people with old iPods and the like would complain that new chargers don't work with existing devices. Typical "damned if you do, damned if you don't" kind of situation.
(There is also a slightly older USB "battery charging port" standard which does allow up to 1.5A charging without any negotiation, but this standard, too, was introduced after the last iPod classic was released.)