The real problem with Dooku...
...is that all his attacks take up too much damned time. You have a 5 minute timer in PvP and he alone can eat up 1/3 of it with all his counterattacks and bonus attacks. In general counterattacks ...
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Right after I posted above I found this on the SWGOH Reddit (about Rey):
That's ridiculous.
I figured that I could boost her tripple attack up and give Dooku a good smackdown. What I got in return was 3 counter attacks, with two bonus attacks and then another attack afterwards for good measure.
So you can potentially be hit 6 times by him when using her "Flurry of Blows" attack vs Dooku.
That's ridiculous.
