We use Escrow.com on a weekly basis. In general, transactions run pretty quickly, especially in Concierge Mode (which is very fast for Sellers to get paid). Wire payments sent to Escrow.com are typically confirmed within 24 hours, and payouts to Sellers typically happen within 24 hours of Closing Statements being sent. If Buyer is paying via Credit Card or PayPal, that slows things down since Escrow.com has to verify those payments are legit. Same for payments in AUD, that is slower than USD.
In general, Escrow.com as a company works 9-5 Monday to Friday PST, so if you are doing stuff during those time periods you will get faster results.