Would Dooku have carried out Anakin and Ahsoka's executions?

https://youtu.be/oboUg2XKVaI?t=2m15s

If the Zygerrian queen complied, would Dooku have gone through with it? What about Sheev?

I'm not sure Dooku realized how essential Anakin was to Sheev's plot until LoE / RotS, so I imagine he would.

<plot hole>