It doesn't look the wires in the pic were twisted too tightly. I can see between them. 110.14(B) says splices are to be made with devices identified for the use
250.8 Connection of Grounding and Bonding Equipment. Grounding conductors and bonding jumpers shall be connected by exothermic welding, listed pressure connectors, listed clamps, or other listed means.
I think a lot of amateurs and professionals alike think "The ground wire doesn't ever do anything, so there is no need for a connector."
Around here, the crimp barrels are pretty popular, but they are often "crimped" incorrectly, that is, just flattened onto the twisted conductors with pliers making for a less than ideal connection.