Depends on how society evolves. People tend to need to get burnt before they take action. Similar to how people only install an alarm system after having been robbed... never to be robbed again. 

If the current system continues to "work" than many won't be bothered to self custody. However, If major banks start to fail and states continue to blatantly censor/control people's ability to transact privately, then perhaps we'll see an uptick in people taking responsibility and become self-sovereign. 

Unfortunately it will take something major, most people are still under the impression that state and money are a match made in heaven and cannot grasp why it isn't so (or don't cause their pay check depends on them not understanding it).