We are confused by proprietary “Fast Charging” standards.

It’s all about the “Handshake.” Even if you have a 60W brick, your phone and cable must support the same Power Delivery (PD) or proprietary protocol (like SuperVOOC or HyperCharge). If the cable isn’t rated for high wattage, or the brick isn’t compatible with your phone’s specific “fast lane,” the devices will default to a “Safe” slow charge (usually 5W–10W) to prevent overheating.