bitaddress.org

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It occured to me that all cryptocoins using an unaltered version of bitaddress.org address creation scheme and same address mining transfer hash would all be able to use the SAME ADDRESSES although of course the AMOUNTS in each coin in that same address would vary BY COIN BLOCKCHAIN. Correct? In other words my bitaddress001 should also be able to be loaded into my dogecoin wallet and catcoin wallet and in each block chain that bitaddress001 would have different amounts of each coin depending on which wallet and coin blockchain you were using. this is becuase the bitaddress.org scheme assigns addresses by random chance and there is no coordination with the block chain becuase there isnt any need to. And the public and the spend address should be related in the same way with each coin in any blockchain and mining software as long as the coin's official software doesn't change how a spend address is validated. Am I right or wrong? Are there any coins whose spend and public address system is not standardized on the bitcoin system and the bitaddress.org system?