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To sum it down your question is: "Why is the Intel B580 GPU slower in encoding 4K AV1 video than a A770 even if the B580 is actually newer?", right?

What's really difficult here is that (I have the impression) you try to compare different tools (Voukoder Pro and Voukoder) with different GPUs (A770 and B580) and you unfortunately mix up the terms some times. It'd really help if we could simplify this here if you test:

• Voukoder with A770 and B580
• Voukoder Pro with A770 and B580

first and share the results. Then I could check why Voukoder Pro is (maybe slower) with a B580.

P.S.: I do think the option preset=veryfast makes a significant speed difference.

P.P.S.: I have a A770 but I don't have a Battlemage GPU at hand so i can't reproduce it.