New Maker's Supply Parts

From the description

This product does not support any fast charging protocols.

This would suggest no

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It has to have those to work with any USB-C power supply, not just fancy ones.

The two 5.1K resisters are actually not for fast charging, just for simple 5V 500mA max, and pretty much the minimum for a somewhat compliant device when powering via USB-C.

If using a USB-A to USB-C cable, it will work without the resistors (or like a Raspberry Pi USB-C power supply), but if it’s a USB-C to USB-C cable to a laptop or power bank, omitting the resistors will result in no power, same with proper USB-C power supplies.