As I understand it, the Intel only vulnerabilities, Foreshadow/L1TF, and this set which I've not looked at the details of yet, are targeting specific Intel features, and there's no reason to believe a similar focus on the other companies' products wouldn't also find unique problems.
For example, the first version of Foreshadow went after the SGX enclave. Given how widespread Meltdown and Spectre bugs are, there's absolutely no reason to believe that the other vendors don't have similar unique problems.