
using this resource, I came to the following conclusions.
Raubahn: Lawful Neutral with tendencies to good
He tends to do the right thing that benefits Ul'dah and its citizenship
Lolorito: Lawful Evil
playing through the Ul'dahn 2.0 starting quests, you witness his Brass Blades, on order of Lolorito attempt to kill someone seeking to rise their position. in Horizon you witness the corruption within the Brass Blades that is seemingly given with permission from Lolorito, although that would never be admitted to publicly
Teledji: Lawful Evil
The megalomanical madman behind the Cartenau Reclamation Act, seeking to raise his position through the acquisition of the Cartenau Flats and the weapon that rests within, as well as masterminding the riots and dissent within Ul'dah, seemingly Machiavellian in his approach.
Godbert Manderville: Unknown
we don't know that much about their personality to acruately make a call regarding their alignment
tl;dr
I don't believe that you can claim that the Syndicate falls under the umbrella of a specific alignment, due to the fact that it is made of individuals, that seem to be at differing ends of the spectrum.
for the full pages:
Lawful Neutral
Lawful Evil
Raubahn: Lawful Neutral with tendencies to good
He tends to do the right thing that benefits Ul'dah and its citizenship
Lolorito: Lawful Evil
playing through the Ul'dahn 2.0 starting quests, you witness his Brass Blades, on order of Lolorito attempt to kill someone seeking to rise their position. in Horizon you witness the corruption within the Brass Blades that is seemingly given with permission from Lolorito, although that would never be admitted to publicly
Teledji: Lawful Evil
The megalomanical madman behind the Cartenau Reclamation Act, seeking to raise his position through the acquisition of the Cartenau Flats and the weapon that rests within, as well as masterminding the riots and dissent within Ul'dah, seemingly Machiavellian in his approach.
Godbert Manderville: Unknown
we don't know that much about their personality to acruately make a call regarding their alignment
tl;dr
I don't believe that you can claim that the Syndicate falls under the umbrella of a specific alignment, due to the fact that it is made of individuals, that seem to be at differing ends of the spectrum.
for the full pages:
Lawful Neutral
Lawful Evil
Aduu Avagnar, The Wanderer: Wiki