I don't have a 5600HSS to test with it. I have not had any luck to get the flash to "consistently fire" as a master commander for the TTL Wireless flash it did a few times then not def. not consistent. Last I checked I did not see a firmware update on their site. I asked the maker and they confirmed that it doesn't work properly with the wireless flash system I suggested they either fix it or remove the menus for that.
I don't know why that is but the Sony HVL-F20M as a mater still not a consistent firing with the Godox flash yet works perfectly with the Metz 58 AF-2's I have (2 units no problems integrating into the system 100% perfect). The Metz units also work perfectly as master units with other flashes or each other. I kept the Metz flashes around because they are fully compatible with the film/older bodies and the Godox doesn't with the KM5d's even on the shoe. I don't use them often but it was a factor.
Despite this I'll put it like this if one of my Metz goes down knowing the bulb replacement cost will be more than a Godox flash I would simply buy the Godox the AA one not the lithium (which is more expensive both are the same in other ways) On the shoe newer cameras excellent exposure and you can use the optical slave manual as a work around for that maybe or just get the radio transmitter which isn't hugely expensive. If I were starting from scratch I would probably get the Godox ones despite the drawbacks as they are good flashes in other ways. Maybe they'll address the TTL Wireless issues I spent a while testing that and that's how it panned out for me. Maybe it works on newer bodies I don't have any to use to test at the moment I'd ebay one Metz but with the I-ISO shoe I'd probably take a hit on the resale so if one dies I'll sell it as a fix it yourself auction
. I had the 50-AF1 bulb go didn't even use it that much these are working OK so far.
Much as I like Metz their replacement costs are just excessive unless you want to DIY buy a bulb off them and try it yourself. What I do like is the A mode that is not available on any Sony flashes (the Godox doesn't have it either) it works independently from the metering shuts off like the old school flashes also avoids and pre-flash