The whole point of reusing an AMD motherboard is allowing the ASIC to carry just the processing cores, DRAM controller, PCIe root complex and an alternative BIOS, while with little external effort achieve a usable system.
1. It will increase the price of the chip. BGA packages are cheap, specialized sockets/connectors are not - especially if you only want to do a (relatively) small batch.
2. AM4 socket is probably a proprietary IP of AMD. Who says AMD is going to let them use it?
3. The voltage rails are going to be incompatible. The ASIC is powered by 0.9 V rail, while AMD CPU use 1.37-1.4 V. If you power RV ASIC with 1.4 V, chances are it's going to go bust before you can say "oops".
4. DRAM controller designed to work only with a small selection of DRAM chips, and the one that can work with pretty much anything out there on a market - are two very different things in terms of complexity.
5. There is much more going on on a motherboard than meets the eye. It's far from being just a bunch of connectors.
6. Most importantly, PCIe connectors are cheap, and so are PCBs and regular BGA assembly. So there is little sense in trying to save anything.
But fundamentally what's the point? If someone would want to build an RV PC, he would have to buy all components anyway. And I seriously doubt that motherboard is going to be the most expensive part.
1. Since the RV chip is significantly smaller physically than a Ryzen, instead of a specialized PGA package, it can be a RV BGA chip + a QSPI Flash chip for the alternative BIOS on a piece of FR4 interposer. This is actually a trick some Shenzhen sellers use to convert Intel laptop chips for their desktop motherboard, by adding a FR4 interposer.
2. I don't think the pinout of a chip socket is copyrightable or patentable. And all signals we are interested here are open standards.
3. Depending on the chip's power consumption and the size of the interposer, it should be possible to integrate a Vcore regulator on the interposer. Alternatively since this level of design change more likely than not requires a new chip revision anyway, the new chip revision can be made with a maximum Vcore of 1.45V to tolerate both native BGA design and AM4-based design.
4. Self-calibration of DRAM controller is a problem you need to solve before RV chips can be taken seriously, as the use of DIMMs are practically required as soon as you leave the embedded/mobile market. Virtually all desktop computers and all servers uses DIMMs.
5. What might go wrong then? All the interfaces involved here are either open standard, or at least have open source drivers in Linux kernel you can learn from.
6. A small FR4 interposer is cheaper than even a mini-ITX board, and a mass market COTS AM4 board is more likely than not to be cheaper than a small volume native BGA board too if matched feature for feature.