If you want a tool to test your processor on different operating systems, Primate Labs has a more complete answer with Geekbench. This cross-platform processor benchmark works on macOS, Windows and Linux, with detailed tests of both 32-bit and 64-bit software. Geekbench also comes with other tools, Geekbench ML for machine learning and Geekbench Browser for result organization and sharing, so it's a good choice if you want to test your hardware's performance in different ways.
Another choice is AMD, which offers a broad suite of high-performance computing products, including processors and graphics chips. AMD's products are more focused on specific use cases like gaming and data center products, but they're designed to offer high performance on multiple operating systems.
If you want to monitor performance and get some security visibility, Datadog offers an all-in-one monitoring service that includes real-time performance and security monitoring. That's good for spotting problems and tuning your system for better performance. The service works on a broad range of operating systems and can monitor multiple cloud computing services, so it can give you a good view of your technology stack.