The one you have linked is a USB3.0 expansion board...thus the need for power...as usb passes power.
The 1x4 pcie splitter do not require power as they use USB cables and connectors but are NOT USB. They are carrying only data (no power) and work in most cases. These are taking a x1 PCIE connection and using a plex (multiplex) chip to split it to 4 x x1 connections which is fine for most mining....you cannot exceed total bandwidth of x1 for all 4 connections but as stated this is fine for MOST mining.
This is the Chipal unit you want to split 1 to 4....
https://ae01.alicdn.com/kf/H9b34a3381719470b974b30975ee12832s.jpg