as zasad@ said that Ethereum 1.0 and Ethereum 2.0 has different network so it could have different coin as we know today and then recently I found trading pair ETH2/ETH on kucoin excange, (not yet found official statement from ETH team about this)
https://trade.kucoin.com/ETH2-ETHIt must be there are 2 entirely different projects. Coin generation is different, security, different investors, ticker, inflation…..
At some stage Vitalik and his gang will start to work against Eth as they only make money with Eth2 staking.