Says CISPR22 emissions, so it can't be too bad*.
*But it might pay to ask them
how they performed that test. Was it plugged in, attached to a long cable, with nominal load on it? Or just sitting there at the end of a plug with no load at all? Who knows.
'Cuz it makes a difference, and it could happen...
Paranoia question: can you prove it is the power supply? Do this by:
1. Replace the power supply with a battery of similar voltage and current capability. This ensures your circuit is operating, but not grounded.
2. Connect up the power supply's ground and neutral, but leave the hot disconnected. Connect its output negative to your circuit. Any change?
3. Remove the battery and connect the power supply positive and hot, powering it up. Any change?
Common mode noise is pernicious and difficult to track until you understand its equivalent circuit. It can very well be that other attached loads or supplies or instruments (especially scopes, which are usually grounded) are making things worse: not by their own noise, necessarily, but by providing a ground path for noise to flow down.
Tim