I'm partial to balanced phono stages, using one myself. Lots of benefits as Atmashphere has pointed out.
As to the OP's original question, I would point out that the Ayre has both balanced inputs and outputs, the Parasound only balanced outputs.
The big benefits of balanced in a phono stage are IMO realized at the input, not the output. If you're really interested in balanced, seek out a phono stage that is fully balanced at the input as well as the output. That would be worthwhile IMO.
As to the OP's original question, I would point out that the Ayre has both balanced inputs and outputs, the Parasound only balanced outputs.
The big benefits of balanced in a phono stage are IMO realized at the input, not the output. If you're really interested in balanced, seek out a phono stage that is fully balanced at the input as well as the output. That would be worthwhile IMO.