Oomis, I do not know if anybody holds this way today, but the first book on Reb Aryeh Levin says that he did not want to buy insurance, because then if he did something wrong C”V, and was chayav misah, the beis din shel maalah would say, look, his family is well-provided for, so he can be given what he deserves. However, if he had no insurnace, then the beis din shel maalah would not only be punishing him, but punishing his family as well by taking away their source of income, if he were to be given a capital sentence, and the RBSH would not allow that, because it says Hatzur tamim poalo…Kel emunah v’ain ovel… There can be no avlah in the RBSH’s judgement. If his innocent children and his wife would also suffer poverty because of his aveirah, then the RBSH would have to cancel the sentence on their account. He thought this way he would be assured of living longer.
This is probably only for people of extremely high madreigos and bitachon.