I’ve been told by my insurance guy that it is much more important to buy a high-quality, individual disability income insurance policy before even thinking about life insurance. Even if you are covered through your employer for short-term and long-term disability, it usually only covers at most 60% of yearly salary (does not cover profit-sharing, overtime, or bonuses). The payouts are also taxed due to the premiums being paid by employer.
It is much more likely that an individual will be disabled long-term, at some point in their life, than dying. But, due to this reason, it is much harder to qualify for a good disability insurance policy.