Alright, this is my response to Darth Thor, and my case for Dooku winning this. This went on longer than I had planned, and I’m not too keen on WoT debates, so I’m not sure I’ll respond.
As you all know, Dooku made short work of Obi-Wan in their fight in RotS, when it came down to Force abilities, in a manner that could be labeled as ”one-shotting,” ”stomping,” or ”ragdolling,” since, you know, Dooku simply picked him up in a Force choke and threw him aside, knocking him out in one blow.
The unfortunate reality here is that Dooku could just as easily do the same to ”focus-mode” Kenobi, since, as you all know, this ”focus-mode” was absolutely useless against Darth Maul when he decided to employ his Force powers. And Darth Maul is very much an inferior Force wielder to Dooku; he proved this when, in the very same episode, he struggled to pull down a shuttle from a cliff. Contrast that with Dooku, who tosses around much larger ships like tennis balls:
They moved farther into the darkness.
"Keep your focus loose," Obi-Wan warned him in a low tone. "He will come from anywhere when he comes."
"This time I'll be prepared."
"Don't be so confident," Obi-Wan answered. "You probably won't be."
They were nearing the end of the hangar. He sensed it rather than saw it. The corroded vehicles were more numerous now, lined up like dark, giant phantoms.
Like phantoms..
Phantoms that move...
Obi-Wan wrenched his gaze away. He could have sworn the ancient ships were moving.
Then he knew.
"This way!" he yelled, as the first vehicle suddenly flipped over. It would have crushed them if Obi-Wan hadn't dashed to the side with Anakin on his heels. He flattened himself against the wall as another vehicle moved, its jagged wing a lethal weapon, capable of slicing them to ribbons. A cruiser suddenly zoomed toward the wall, straight at them.
"Drop!" Anakin and Obi-Wan hit the floor, hugging the stones as the cruiser passed over them and smashed into the wall.
Vehicle parts began to fall like rain. The crashes were deafening. They leaped, twisted, and dived to avoid them, using the Force to deflect them when they could. Finally they came to rest in the shadow of one of the giant statues. Obi-Wan leaned against a clawed foot and squinted into the darkness.
He could not see the Sith, but he felt the Sith's amusement, his triumph.
The vehicles now smashed into one another, creating a solid mass of screaming metal, effectively blocking them from the front of the hangar.
Anakin ran to the mountain of metal and tried to climb over it. Obi-Wan felt the dark side rise in a crest and then fall, leaving a vacuum behind.
"It's no use," he told Anakin. "The Sith is gone."
-Jedi Quest: Showdown
So Dooku is very much capable of one-shotting this ”focus-mode” Kenobi, like he did in RotS.
And no, Kenobi is not going to be able to press Dooku with his Jar’Kai offensive to the point where he isn’t able to use his Force abilities. Dooku has dealt with similar assaults like that before rather efficiently, and even when pressed by Anakin ”destroyer droid with a lightsaber” Skywalker, that presented absolutely no trouble from doing this.
And, again, no, ”focus-mode” Kenobi is not better than Anakin ”destroyer droid with a lightsaber” Skywalker, or even General Grievous, offensively. Because ”focus-mode” Kenobi has already fought Grievous in RotS. Yes, you read right, Kenobi was in fact in the very same ”focus-mode” when facing against Grievous, as described by the RotS novelization:
Three MagnaGuards, each with a double-ended weapon that generated an energy field impervious to lightsabers, each with reflexes that operated near lightspeed, each with hypersophisticated heuristic combat algorithms that enabled it to learn from experience and adapt its tactics instantly to any situation, were certainly beyond Obi-Wan's ability to defeat, but it was not Obi-Wan who would defeat them; Obi-Wan wasn't even fighting. He was only a vessel, emptied of self. The Force, shaped by his skill and guided by his clarity of mind, fought through him.
[…]
Letting go of intention, letting go of desire, letting go of life, Obi-Wan fixed his entire attention on a thread of the Force that pulled him toward Grievous: not where Grievous was, but where Grievous would be when Obi-Wan got there...
So even when Obi-Wan is focused like that, Grievous manages to overwhelm his guard. The same Grievous, who Dooku has repeatedly outfenced. This ”focus-mode” only puts Kenobi on Dooku’s level at best, and that is only as of RotS. TCW Kenobi, with his inferior swordplay, will only be methodically picked apart by Dooku in a fencing contest.