It's seems fairly obvious to me that the carb's inlet is at the rear, ie connected to the airbox - because that's where the air is drawn In to the carb. And passes Out of the carb through the Outlet, into the engine.
It seems to me that the confusion may arise because when people are talking about the 'inlet' side, they are, in fact, talking about the inlet side of the engine, rather than the inlet side of the carb itself - ie "carbs are on the inlet side of the engine, therefore the bit of the carb that connects with the engine is the inlet".
If you look at the carb in isolation, there's only one place where the air come In, and another where the air goes Out.
And once it goes Out of the carb, it does go into the Inlet tracts and valves of the engine - but they are not part of the carb......
It seems to me that the confusion may arise because when people are talking about the 'inlet' side, they are, in fact, talking about the inlet side of the engine, rather than the inlet side of the carb itself - ie "carbs are on the inlet side of the engine, therefore the bit of the carb that connects with the engine is the inlet".
If you look at the carb in isolation, there's only one place where the air come In, and another where the air goes Out.
And once it goes Out of the carb, it does go into the Inlet tracts and valves of the engine - but they are not part of the carb......