I think one of the limitations of slot/cartridge based CPU's is the cooling. These days if you look at how tall cooling is, it would not be trivial on high end CPU's to do the same when the CPU is orientated horizontally. Yes, they could use heat pipes, or AIO's or something else. But the design's would always have to work around the some "safe zone" so that it didn't intrude on memory or PCI slots. Basically, there is no benefit, to having the CPU package with all it's pins on the board like we have now.
*edit* Oh, and think about the weight of the current norm for coolers, how do you support 2+lbs of copper horizontally?
Well a Back brace would help AMD and Intel did this for their slot cards. But its still a good question. For the most part we would be better looking towards Video Cards for our inspiration for this. I mean maybe in a 9" length you could do a 100w cooler for most desktop chips that's single slot. But take overclocking or larger workstation and server chips in, you need either the monsters we work with on sockets or an adapted version of the coolers we use for GPU's and a plug in mechinism less like a free standing cartridge and more PCIe expansion card. Maybe something in between where you can fit a rail system in for support like PXI. But honestly for it to happen, I see a PCIe like setup being the answer as that keeps chassis design kind neutral.
But that leads to why this will never happen. You do something like and all off a sudden. Only mid tower ATX and larger become viable solutions and what wasn't the case back then, is the case now. Mobile. There wasn't a real demand for laptops because they were too expensive being behind in mobile processor solutions wasn't an issue. Intel isn't going to develop desktop solutions that aren't tarted up laptop cpu's SB - CFL-R and even Icelake are first and foremost laptop solutions.