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Panasonic lens control remotes typically use two connectors: a 2.5mm plug for zoom control and start/stop recording, and a 3.5mm plug for focus and iris control. Panasonic camcorders have two (appropriately sized) jacks for this, but the GH5 only has a single 2.5mm jack. As a result, an external remote plugged into the GH5's 2.5mm remote port can only start and stop recording (or shutter release in photo mode) and control zoom (for the handful of Micro 4/3 power zoom lenses).
As long as "Shutter AF" is on, this wired remote, https://www.bhphotovideo.com/c/product/766338-REG/Vello_RS_P1II_RS_P1II_Wired_Remote_Switch.html will control autofocus. Not exactly what the OP was looking for but it does work