Please don't jump to conclusions. A well implemented eID can even improve privacy compared to the alternative of accessing big parts of the internet by trusting private companies to handle sensitive information like photos of physical IDs.
There is something in cryptography called Zero Knowledge Proof. With it only minimal information is exchanged and no party can tell anything about the person accessing it, i.e. the website who you are or profiling your ID, nor the verifier or issuer what you're doing.
Without knowing how the eID will be implemented, you can't just make such blanket statements. Want to know the details? It is open source and you can look up any technical details as well as the software code publicly.