In the same circumstances, mine blows more strongly with the cooling button (snowflake) engaged.
I also noticed that the engine note changed as the compressor cut in and the engine reacted to the load. The low speed fans cut in as well. Quite a noticable change in the noise from the engine compartment (at idle, sitting in front of the house).
Thinking about it, if the temp is set to LO then we might expect the fan to blow harder with cooling on, to get as cold as possible. The cabin air blower speed is set by a resistor pack on the bottom of the fan housing, electronically switched when climate control is installed. Full fan speed = no resistance in series with the fan. Maybe your full speed connection has gone bad (worn wire, dirty or loose connector, or possibly a climate control module fault).
The blower should be in the dash, behind the glove compartment. Resistor pack is on the bottom.
VAG-com can read the fault codes for the air conditioning system, I'd recommend using this to find out what faults are being reported.