Could you please clarify for me the context in which you're asking about Stader and its chains? Are you referring to a specific blockchain project, a staking platform, or something else entirely? Assuming you're asking about a blockchain-related entity, it's important to note that the term "chains" can have different meanings depending on the context.
If Stader is a blockchain project or protocol, it typically would exist on a single blockchain network, such as Ethereum, Polkadot, or another smart contract-enabled platform. However, if Stader offers staking services across multiple blockchains, it might be said to "live on" those various chains in the sense that it supports staking for assets on those networks.
So, to answer your question directly, without more context, I would say that Stader likely exists on one primary blockchain network, but if it offers staking services for assets on other chains, it could be considered to "live on" those chains as well. Could you provide more information about Stader to help me give a more precise answer?