I still don't understand it. There are other EOS wallets that they can use and if they have a record of it, they should have to dig some information from their databases just to verify if the address is coming from that wombat wallet.
Same as with bitcoin addresses, there's no indication what wallet you have used for those addresses unless someone actually knows where that wallet address came from.
First of all, don't mixed EOS and BITCOIN with each others. Bitcoin is a proof of work (POW) based blockchain where miners confirm blocks and get their reward for that. But EOS is a proof of stake (POS) based type blockchain where no needs mining hardware to run the eos blockchain. Only you need some CPU and NET which you can get by locking your EOS. That's the main things in EOS blockchain. Also there are some block producers who help to broadcast the transection to the EOS blockchain. Take a look into the attach words.
All transactions triggered by the users are broadcasted to the EOS blockchain and are than processed by the Block Producers. To make sure no-one is spamming the network with transactions users have to “stake” (or lock) EOS to prove . The more EOS someone stakes, the more CPU time is allocated to the respective user
So, you have to use any block producers server to make sure that your transection are broadcast to the network without any problem. In this point, all the well known wallet make their own block produceing account to help the wallet users (
i want to mention you that meetone wallet are now in the top 6 positon for producing blocks). You get all the links of top block producers in
here. Now it's easy to track by the public address which block producer you are using to play dapps. In any compition , eos usernames are used to show who are in the top place. So it's easy for anyone to track by using their public username or address. Besides, Wombat provide free CPU/NET to their wallet users to play dapp without any problems.
Check out this post. Maybe this can be the way to watch anyone in the eos blockchain