It’s safe to say if Ethereum goes up, so do the ERC 20 tokens? (Saitama, Mononoke, etc)

I’m pretty it’s obvious considering it’s under the same build, but it didn’t really hit me until I analyzed the charts with my inu investments. I believe it’s the same format whenever BTC goes down and the whole market is affected. I think I’m late to the event for just noticing, but I was wondering if anyone else noticed the fluctuations in that regard?