First rule of audio, if you don’t hear any difference, don’t worry. My rule anyway, if I don’t hear it, why bother? So it seems to me you already have a power strip, in this case one called "Prometheus Power Flo" and so you might as well use it.
That said, there is a way to determine for yourself whether it "works" or not. Start by plugging everything into it and listening to your system that way. Do this long enough to get used to the way this sounds. Then unplug one component and plug it directly into the same outlet as the conditioner. This avoids potential differences between outlets, possibility of ground loop noise, etc. This is a true test because the only variable is the conditioner.
Hopefully you prefer the conditioner. But if not then use the same process to find a power strip.
Don’t worry if you don’t hear any difference. In this case there are two ways to go. One, you remain happy as a clam, content in being satisfied with whatever you have. Two, this bugs you and you want to find out whether your lack of hearing any difference is based in reality, or a lack of listening skill.
I know which one it is, but remain agnostic on which choice you make. For the simple reason this is all about building a system you enjoy. Not me. Not anyone else. Just you. If I can help you be happy with what you have, that is just as gratifying to me as if I can help you learn to master all the many ways you can make it better, and appreciate it for being better.
To that end I will soon be writing a series of articles on how to listen, critically and effectively. How to evaluate what you are hearing, with the words to describe and talk about this with others. And best of all, how to develop the ability to do this with aspects of sound you are not currently aware of or able to identify.