Thor's energy source is more powerful than Doomsday's...I will admit DD is hella strong though. One of the problems with this fight is DD is immune to some of the arguments I would use for Thor beating anyone from Hulk to Silver Surfer...DD doesnt seem to have an ambient power source Thor could absorb with Mjolnir. Thor could absorb gamma radiation from Hulk or cosmic power off Surfer...but he has nothing to suck from DD...he would just have fight DD at 100% the whole time...I think he could do it...but he would end up takinga serious beating in the process
If the omega effect had well... NO EFFECT almost on DD, i doubt any kind of lightning will hurt him:
The Omega Effect: Darkseid's most terrifying power is the "Omega Effect" potent beams of energy projected from his eyes that can lock on and trace their chosen targets. When the beams do inevitably connect, they produce one of any number of effects, ranging from disintegration to teleporting the target across time and space and can even reach out into other dimensions.
The lightning isn't that different, it's just unlimited. Repeated lightning attacks is going to be different than an omega beam blast. It's not as focused, but more intense because Thor can consistently blast him with it. As for Thor not beating Superman, the writers already retracted that crossover. Thor can most certainly match Darkseid's power, obviously with the Odinpower but even without he still has his godforce blast which is superior to Darkseid's blast. He also has control over the runes now, which is immensely powerful. Thor is going to win this.
Thor's lightning isn't just lightning. it's mjolnir's enchantment. And King Thor used the odinforce to contain nuclear explosion. and remember how superman defeated doomsday (at the end of time). Mjolnir can create vortex to tranport to other dimention. With Thor's extended powers he can transport doomsday to the end of time.
Thor's lightning is 'regular' lightning but it's controlled lightning. It has the same properties as lightning but Thor is master over it, thus he can send bolt after bolt after bolt against DD. Whether it has an effect on Doomsday really doesn't matter, as Thor's godforce surely will. He doesn't even need to be King Thor to defeat Doomsday. King Thor could defeat Darkseid though quite easily.