(resolved) Seebeck effect: why can't electron+hole combine at cold end?

[jaus tail]

Hi,
In seebeck effect:
Ref:

Once the red region is hot, the electrons and holes move toward cooler region i.e. bottom. So there is a positive potential toward right side of cold side and negative region toward left side of cold side. So why can't the electrons and holes combine here only instead of going all the way across the wire and meet with a resistance (load of bulb). Why can't they just recombine in the cold side?

 

[jaus tail]

Sorry for question. I found a more appropriate diagram:

Ref: