Regarding seasons in a world with three suns

I'm in the process of designing a campaign setting with a sort of magically-handwaved geocentric crystal sphere solar system in which the planet is surrounded by layer after oniony layer of transparent crystal spheres in which the planets and other celestial bodies are set. The earth rests in the center, with the two moons forming an innermost layer, surrounded in turn by two planets and, then, the suns.

What I am considering is, in place of a single sun, having three smaller solar bodies which provide, on average, about the same output in terms of light and heat. At the beginning of a "year" (the word makes less sense when the earth does not orbit the sun) the three suns are in a line perpindicular to the north-south axis. The centermost sun is slightly larger than the two which orbit around it.

On a cycle about six months long, they make a 180 degree rotation around the axis provided by the middle of the three suns. That is, three months after the beginning of a yearly cycle, the suns are arrayed perpendicular to the equator and follow the north-south axis. After a full year, the suns would have turned counterclockwise one full rotation.

What I anticipate is that during the "vertical" seasons, when the suns are parallel with the north-south axis of the planet, then the northern and southern regions of the planet would be getting sunlight at a more direct angle, resulting in a more summery season. During the "horizontal" season, the equatorial regions would have not only three suns of direct overhead sunlight, but it would be sequential resulting in very very long days, as by the time the westernmost sun is setting, the easternmost sun is still shy of noon.

Does this make sense? What sort of differences would you anticipate in a world like this, and what sort of seasonal patterns would happen as a result?