Eponymous hasn't been on since May, and may not be checking back in here anymore...
You're right though that there seems to be some wierdness with the relays. I understand what it is that he WANTED to do with them, I think, but they weren't drawn quite right.
From what I can see...
The SMPS should have full-time power, and NOT be controlled by the DPDT switch. Therefore the lamp switch can be a SPST switch. I would still put a master switch before that, for myself. That's me.

The relay in the center is obviously supposed to trigger the fans until the 555 timer circuit runs out, and yet allow them to be on whenever there is power.
This changes a couple of things though.
1. There needs to be a "trigger" to the 555 timer circuit to tell it when the lamp has been powered off. For this, I might be tempted to use a photocell and a NAND gate chip, but that could also be considered needless complexity. Set the output from the photovoltaic to the "reset" pin. This means that as soon as the lamp comes on, the circuit will reset, now being ready to operate in cooldown. When the light turns off, the NAND of the photovoltaic is sent to the trigger. As long as the ciruit has been reset, this then operates the fans from the "cooldown" power supply.
Complicated, and somewhat needless.
What this circuit really needs is 2 12VDC supplies Neither shoud need to be a SMPS, though that might be a good idea for the "main" circuit which will run the LCD supply. The other for the timer circuit can be a simple plug-pack, since it will never need to supply much current.
I should probably do up a schematic for what I'm thinking about, it's rather different from this after all...