Great question — answering as the UphillTech team:
The washing machine drains into this sink (which drains into the line in the second picture). As far as I can tell, code requires a vent pipe very near any laundry drain, if not directly connected to the standpipe. So I believe the answer is no, I cannot simply change the vent to connect to the upper drain lines - if I do so, I must add an additional vent, or at least air inlet valve, near the laundry drain.
Full answer by negacao: https://diy.stackexchange.com/a/275287 (CC BY-SA 4.0).
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