That seems wrong to me but maybe I am just misunderstanding you. The light from the particle horizon is by definition the light arriving here now. Whether light emitted on either side of the particle horizon will reach us depends on whether the emission happens within the cosmological event horizon which only coincide with the particle horizon in a non-accelerating universe and changes over time in an [de]accelerating universe.
If we move away from an observer in our accelerating universe we first pass objects that can still emit light that can reach the observer, then we pass the cosmological event horizon and enter a region where objects were once able to emit light reaching the observer but which are now moving away to fast for they light emitted now to ever reach the observer and finally we pass the particle horizon and enter the unobservable universe where objects were never able to emit light able to reach us.
This may sound contradictory but one mus keep in mind that objects between the cosmological event horizon and the particle horizon emitted light in the past that is still on its way to us so that we can still observe those objects for some time but they can just no longer emit light that will reach us.
Also note that I avoided talking about the inside and outside of horizons because I am not sure what side is usually called the inside respectively the outside. From the point of view of an observer he is inside the horizon, on the other hand in analogy with a black hole where the horizon prevents light reaching an observer outside the horizon we would have to call the observer outside of the horizon. I think the former point of view is the common one but I am absolutely not sure about that.
EDIT: Replaced Hubble horizon with cosmological event horizon as pointed out by cygx.
Physically, the Hubble 'horizon' is mostly meaningless. What you have in mind is the cosmological event horizon.
Both can be defined in terms of certain velocities reaching c: The hubble sphere is located where the change in proper distance at constant cosmological time reaches the speed of light (aka recession velocities), the cosmological event horizon is located where relative velocities as evaluated by parallel transport along the light path does so.
If we move away from an observer in our accelerating universe we first pass objects that can still emit light that can reach the observer, then we pass the cosmological event horizon and enter a region where objects were once able to emit light reaching the observer but which are now moving away to fast for they light emitted now to ever reach the observer and finally we pass the particle horizon and enter the unobservable universe where objects were never able to emit light able to reach us.
This may sound contradictory but one mus keep in mind that objects between the cosmological event horizon and the particle horizon emitted light in the past that is still on its way to us so that we can still observe those objects for some time but they can just no longer emit light that will reach us.
Also note that I avoided talking about the inside and outside of horizons because I am not sure what side is usually called the inside respectively the outside. From the point of view of an observer he is inside the horizon, on the other hand in analogy with a black hole where the horizon prevents light reaching an observer outside the horizon we would have to call the observer outside of the horizon. I think the former point of view is the common one but I am absolutely not sure about that.
EDIT: Replaced Hubble horizon with cosmological event horizon as pointed out by cygx.