That's a Chrome problem, especially on extra powerful processors like Strix Halo. Apple is very strict about power consumption in the development of Safari, but Chrome is designed to make use of all unallocated resources. This works great on a desktop computer, making it faster than Safari, but the difference isn't that significant and it results in a lot of power draw on mobile platforms. Many simple web sites will peg a CPU core even when not in focus, and it really adds up with multiple tabs open.

It's made worse on the Strix Halo platform, because it's a performance first design, so there's more resource for Chrome to take advantage of.

The closest browser to Safari that works on Linux is Falkon. It's compatability is even less than Safari, so there's a lot of sites where you can't use it, but on the ones where you can, your battery usage can be an order of magnitude less.

I recommend using Thorium instead of Chrome; it's better but it's still Chromium under the hood, so it doesn't save much power. I use it on pages that refuse to work on anything other than Chromium.

Chrome doesn't let you suspend tabs, and as far as I could find there aren't any plugins to do so; it just kills the process when there aren't enough resources and reloads the page when you return to it. Linux does have the ability to suspend processes, and you can save a lot of battery life, if you suspend Chrome when you aren't using it.

I don't know of any GUI for it, although most window managers make it easy to assign a keyboard shortcut to a command. Whenever you aren't using Chrome but don't want to deal with closing it and re-opening it, run the following command (and ignore the name, it doesn't kill the process):

    killall -STOP google-chrome

When you want to go back to using it, run:

    killall -CONT google-chrome

This works for any application, and the RAM usage will remain the same while suspended, but it won't draw power reading from or writing to RAM, and its CPU usage will drop to zero. The windows will remain open, and the window manager will handle them normally, but whats inside won't update, and clicks won't do anything until resumed.