A parallel loop is great if you only want to mix in some of the effected signal while leaving your core tone intact. This would not work very well with a noise gate because when the gate would close to mute the unwanted noise, the parallel loop would still pass signal (or noise) around the loop. The same would happen with an EQ, the frequencies that are cut on the EQ would still be present in the parallel path thru the fx loop. You would need to turn the loop mix up closer to 100%, which would pretty much be the same as a series loop.
Now with the compressor that may be the way to make it a little more subtle, similar to the Barber Tone Press, where you can mix in some of the dry signal with the compressed signal. Try it and see!!
FWIW, I never really cared for a comp in the loop of a Recto. It seems to squash the dynamics of the amp. YMMV.
Dom