They have single-precision oriented GPUs and double-precision oriented GPUs, but they are reused across many markets. GK104 ended up in Geforce, Quadro, Tesla, GRID, mobile Geforce and mobile Quadro. They are believers in making their parts multipurpose.
They are indeed more focused on the core graphics business, and yet they are constantly trying to break out into new markets. Why do you think they are willing to lose millions on Tegra? Why do you think they bought a modem vendor? Why do you think they are pushing into cars? They are trying to spread their bets more, so they are not so totally reliant on the core GPU business. They are actively trying to move away from the very business model that you say AMD should emulate.
But yes, AMD is very thinly spread at moment. If Zen doesn't break into servers, I would expect them to give up on high end desktop and focus on making SoCs, APUs and discrete GPUs. And trying to break into the ARM Android market is another distraction they really don't need.