Dooku didn’t actually reveal much information, though. Dooku revealed Palpatine’s Sith name, but with no way to connect the Sith name to Palpatine’s public persona the name is useless. The information he gave was also misleading: by saying that «hundreds of senators are under the influence» Dooku implied that the Sith Lord was influencing them privately from behind the scenes when in fact the Sith Lord was influencing the Republic Senate in his public capacity as the Supreme Chancellor. Since Dooku didn’t reveal much information and did so in a misleading way, it was a relatively low risk gamble to attempt to gain Obi-Wan as an ally of the Separatists. Count Dooku: What if I told you that the Republic was now under the control of a Dark Lord of the Sith? Obi-Wan: No, that’s not possible. The Jedi would be aware of it. Count Dooku: The dark side has clouded their vision. Hundreds of senators are now under the influence of a Sith Lord called Darth Sidious.
