"make it big” vs “hit it big”

Are there any differences in the meaning of or when we use the idioms ‘make it big’ and ‘hit it big’? The definitions in the Cambridge Dictionary are:

  • make it big
    to become famous or successful
  • hit it big
    to become very successful

I think they both are very similar in meaning. However, ‘to hit it big’ might suggest that luck had a greater impact on your success than when you ‘make it big’. We say ‘to hit the lorry’ or ‘hit the jackpot’ when we get very lucky while we refer to a ‘self-made man’ when talking about a person who has supposedly ‘worked hard’ to become rich.