Cloning is a bit overstated. AMD is forced to have a different approach. They have to be 'open'. There is almost 0 reason to add features because they will not be adopted by developers. There is maybe 15% of the market with AMD GPUs and only 10% of those who have the cool new GPU that can use the feature. What developer will implement that feature without a payoff? It only pays if the feature works on competitor's products too. A second player at RTG's inconsequential size does not get to add new features that require developer support. That is always a losing battle.
(Except on consoles - where Radeon did do some weird things like the Xbox 360's tessellator before Nvidia)
Most of the time "open" means "We are not going to put the effort into developing this properly", and "open" without strong investment from some company tends to fail. If AMD were actually to put the serious investment required into doing some new technique properly it probably wouldn't be open because they need to sell more AMD stuff off the back of it to pay for that investment, so it's got to run best on AMD hardware. AMD are not a charity after all.
That said it's not like AMD have never done this successfully - remember eyefinity (multi-monitor gaming). That wasn't exactly new tech but up to then it had been something you had to buy a pro card to use. Anyway they gave it to normal gamers and developed some proprietary tech to make it work better, and AMD fans loved it. Nvidia was forced to follow and release their version of the tech afterwards.
As to why AMD don't do more of this, well obviously it costs money to invest in new tech, but AMD have money now. The bigger problem is most of these things require as much software developement as hardware. AMD can do the hardware but they simply never invested in software - they always let people like Microsoft do it for them. That works fine in some cases - e.g. for consoles AMD provide the hardware and MS or Sony write the software, but relying on it has been more and more limiting as gpu's have evolved. Advanced gpu functionality, gpu compute for server farms, AI, all require a lot of software that no one else is going to write (other then a direct competitor who isn't going to give you fair access).
AMD really need to fix this and become advanced software as well as hardware experts.