Talking about two different things....
dgoldenz gave a short but very good explanation. But I guess there are still questions about this. I'm not an insurance agent, but have worked in insurance, banking and financial services as a back-office admin for 35 years so can understand the confusion. (BTW, if dgoldenz or anyone else thinks I've made a mistake in my explanations below, please correct me, thanks!)
This thread has diverged into two different avenues. Insurance is risk mitigation for MANY reasons, not just one or two as we are discussing here. Middle-class consumers think of life insurance as income protection because that is one of their biggest financial risks.
However, for the wealthy, income protection becomes secondary to estate tax planning. Because of the many current uncertainties about the estate tax laws, it's a subject of intense interest for the wealthy and their financial advisors. It's hard to make plans when you don't know what Congress is going to do (altho one can try to guess) or when they're going to do it. And estate tax law changes have been made retroactive in the past, making one's decision even more difficult.
So....if you are talking about income protection, the factors for how much you buy and what you buy, are very different than if you are talking about estate tax planning.
Income protection comes in the form of Term (either Level or Increasing), Whole Life, or Universal Life. Most people are focused on how much they're going to pay in premiums. Term is the most affordable because it has no cash value. If you are concerned about cash value, you are looking at insurance partially from an investment standpoint rather than face value protection.
You're the policy owner, so it's your choice. Just remember that insurers exact a heavy toll for cash value policies; you'll get less face value protection for your premium $$. A $100K policy, even tax free, makes for a puny drawdown at 4%. It should be noted that if you are the policy owner, the face value of the policy IS included in the total value of your estate at time of death, for estate tax purposes. It does, however, pass income tax-free to the beneficiary(ies), and is a Payable On Death (PoD) asset, therefore not under probate or trust control.
Estate Tax Planning for the wealthy most often uses Variable Universal Life (VUL) which optimally is held in an Irrevocable Life Insurance Trust (ILIT). Once set up this trust cannot be changed; it is a legal entity unto itself. Everyone has to follow all the IRS rules to the letter, or the trust will be disallowed. The insured(s) are NOT the policyowners but they do pay the premium, which varies each year according to the fluctuating market value of the investible portion of the VUL.
This premium allows the payers to remove excess after-tax cash from their estate, every year. Given that they may live 10, 20 or more years after setting up the ILIT, the total estate-taxable cash eventually drained off can be very substantial!
On one $5M VUL ILIT we set up for a young 40-ish couple who are Silicon Valley execs with substantial stock options, their initial premium was $22K for the first year. Although the start-up costs are substantial due to legal work, follow-up costs are relatively minor in succeeding years. Assuming nothing happens to them and they continue to fund the policy (they planned for a 10-15 year contribution period and to retire afterwards, leaving the policy able to fund itself), the face value may grow to substantially more than $5M, depending on how well the investible allocation does.
This allows them to be sure that no matter what Congress does, their son will have sufficient cash to offset the parents' estate tax hit, and he may well have extra non-taxable cash paid out from the policy if things go well. Remember, the ILIT is not owned by his parents, so it is not counted in the total value of the estate!
So you can see that these are two different scenarios, with very different numbers, because they are focused on achieving risk mitigation of two different goals. They are both life insurance-based, but they are "beasts of a different color", entirely.