Privacy – Is it possible to identify which node a transaction originated from?

so to speak node-A Propagating transaction to peers on the network: node-B, node-CSuch.Is there a way for other nodes to know that node-A that is Founder simply for that transaction source of rumors About transactions (such as “gossip”) node-B share a transaction node-C)?

Just like a node gossiping about a transaction, it seems very important from a privacy point of view that the originator of the transaction is obfuscated by appearing on the network. But I don’t know what the Bitcoin protocol is. Are all the transaction relays created the same, or is there a recognizable original source to the network?