The data sheet for the ADV7513 list the total power at 3.3V as 1mW. While this is a low power part, that seems to be too low, especially since it is 256mW at 1.8V.
All the processing and transmitter power comes from the 1.8V rail. 3.3V is only used for input buffering of the digital signals down to 1.8V to be processed. The ADV7511 shows the same characteristics.
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