Currently, there is a limitation with Pipeline's implementation that only sends the deals/people that you own to Zapier. To work around this, you could have Zapier accounts for each potential deal/person owner and duplicate the Zap.
If you're an Admin in the PipelineDeals account, another option would be to use the other potential deal/people owner's API key and setup an additional Zap for each of them in your existing Zapier account. To do so, you'd go to "Connected Accounts" in Zapier under your profile and add the other users there. Once that's setup, you cap copy your existing Zap and swap out the connected account.