On the one hand, eIDAS (the e-signature part) is definitely a good thing as it will replace a lot of weak national signature laws with something modestly safe. On the other hand it will also replace strict signature laws (e.g. german) with something much weaker. In the core of e-signatures is the so called human-machine transfer (Schneiers term). A human expresses his legal declaration of intent through a machine. In germany this required a (certified) qualified signature unit and software which de-facto meant certified smartcard from certified trustcenter with secure pin entry (on the card-reader, not the computer).

According to eIDAS this can be replaced with much more weaker forms like server-side keys and signature after 2FA. And this is where folks from DocuSign (and others) will come in and place cryptographic signature on documents exchange for username+password+click (maybe with 2FA, I doubt that).

So you formerly needed smartcard (possession) with PIN (knowledge). Now you may only need username+password (knowledge) and maybe a second factor like mobile phone. I doubt that having control over a smartphone is on the same security level as control over a class 2/class 3 smartcard reader.