I've owned and gigged both the copper Realist and wooden version on the same bass. One thing to note is that the wooden version is a couple of mm thick and doesn't compress like the copper version, meaning that it slightly increases the bridge height on the E side. Doesn't sound like a lot but it was noticeable (as I didn't have an adjustable bridge at the time) when playing and I didn't like it, may have got used to it if i'd stuck it out though... Sound wise they were both quite similar but to me the wood version sounded more hollow somehow. I ended up switching to the copper version which sounded more like 'my bass but louder' at low volumes at least.
I don't use a Realist anymore as I found it quite prone to feedback at higher volumes and I couldnt get a decent usable tone when needing to play loud. Ended up switching to a Fishman Full Circle that is a lot more feedback resistant, got it fitted by a luthier who also converted my bridge to an adjustable one at the same time. A KK BassMax is a cheaper option that is also quite feedback resistant.
Hope that helps,
Alex