The arrows I think are alreay noted on Apollo's page, they don't really help with reactions as to my knowledge, nobody has reacted to them. Pretty sure he just called them light arrows though.
Also it's described as energy once (Which light is anyways), I don't think the sea boiling with energy counts as the beam being described as energy. Otheriwse, it is called a blue light twice, and flat out light once, and there's no reason to believe that Percy traced the beam as it was fired.
For example, I can tell where a beam from a laser pointer came from, that doesn't mean I have lightspeed reactions or the beam isn't lightspeed. It's shown that the weapon glows quite brightly at it's tip. It's more reasonable, and more heavily implied, that Percy saw the starting and ending location of the beam, without neccesarily tracing the beam.
I don't think the validity of the Sol attack should be in question as much as if it Oceanus and Poseidon's duel proves they could react to the beam as it happens off screen.
Well as I said there's no evidence of Oceanus reacting to the blast so it can't really be used as a reaction feat either way.
I concede that the sea boiling with energy doesn't counts as the beam being described as energy, but the Trident glowing with blue light doesn't mean that the beam it fires is a laser made from blue light.
This leaves only one description for it being a beam made of energy and one for it having the quality of blue light.
1.
A huge sea serpent appeared from above us and spiralled down toward the roof. It was bright orange with a fanged mouth big enough to swallow a gymnasium.
Hardly looking up, Poseidon pointed his trident at the beast and zapped it with blue energy. Ka-boom! The monster burst into a million goldfish, which all swam off in terror.
2.
Poseidon sighed. He raised his staff, and it changed into his regular weapon—a huge three-pointed trident. The tip glowed with blue light, and the water around it boiled with energy.
You can't say the quote about the "flashes of light" supports the beam being blue light as that would be true for the beam being both light or "energy".
Another thing is that Percy wouldn't actually know what the beam was made. All he has to go off is visual appearance. Sure to him it looked like it was made of blue light or blue energy but that doesn't mean that's what it is. Emitting blue light is not the same as it actually being blue light, a distinction you seem to be forgetting. Percy knows what a laser is and yet never describes the beams as such.
If we look at the beams physical properties as described by the book its pretty clear its not an laser as we know it. It doesn't act like a laser at all, with it solely transmuting and erasing targets as opposed to disintegrating or burning them.
I am well aware that lasers are made of electromagnetic waves that carry electromagnetic energy, however energy in fiction is usually portrayed as some physical matter when in reality its a quality, the ability of an object to do work, however the former is the case within the Riordanverse.
For example, Hades' beam attack (which should be comparable to Poseidon's) is described by Percy as being black energy, which he reacts to and deflects back at him.
Hades raised his staff. A bolt of dark energy shot toward me, but I deflected it off my blade and slammed into him.
The god and I both tumbled out of the chariot.
Lasers
cannot be black and would be too fast for Percy to react as he's failed to react to lightning numerous times in the past and by that I mean every single time he's faced it.
I'm still not convinced that these quotes alone can be used to give gods relativistic reactions. However, its not up to me to decide that.
I shall defer to more experienced members for their verdict on the matter.