First the assumption that the "profile" of the people covered by group policies is the same as everyone is false. The uninsured and rescinded have a disproportionate number of individuals with preexisting conditions, thus this group has much higher cost than group policy group. This will increase the average cost.
You're reasoning of faulty:
Imagine a hypothetical population of 100,000 people. Some have jobs with companies that offer group health insurance, some don't. There's no a priori reason why those working for companies that offer group policies would on average be any more or less healthy than those whose employers do not offer group policies. One would expect that - on a random basis - the two groups would have identical health profiles. Think about that and let it sink in.
In other words, if the entire group-policy population can be covered at a cost of $5000/individual and $14,000/family, then the entire non-group-policy population can be covered for approximately the same cost (there would be small, additional administrative costs for non-group policies). Remember, the group-policy group has - on a random basis - just as many people with serious health problems as the non-group-policy group. The only difference is that the non-group-policy people with pre-existing conditions can't get insurance pre-Obamacare.
Second the assumption that all group policy will qualify under the new rules is also false. There are special exemption for preexisting condition, catastrophic plans, and plans that aren't good enough that won't be allow to continue. These bring down the average policy cost versus what will occur under the new bill.
This is a valid point, but if my memory serves me correctly, the percentage of individuals covered by "non-qualifying" group plans is very small (on the order of 5% or less), and the increase in cost needed to "upgrade" these policies to "qualifying" status is not going to raise the average group rate by anywhere close to $10,000 for individuals (from $5000 to $15,000) and $10,000 per family (from $14,000 to $24,000). I know for a fact that first class group polices don't cost anywhere close to these amounts: I'm single, and am covered by an excellent BC/BS PPO policy (which includes generous drug coverage, small co-pays, and a small deductible), yet the total premium is about $5200. And I live in one of the highest-cost areas in the country.
Getting to $15,000 is just an outrageous fabrication.
There is another effect that you didn't think of at all is supply and demand. Demand will go up, while supply is relatively constant, so price go up.
You're in effect claiming that a 15% increase in the number of people covered by insurance is going to cause providers to on average more than DOUBLE their rates (I'm kind of averaging the claimed $5000 to $15,000 rate increase for individuals and the claimed $14,000 to $24,000 rate increase for families). As a test of what you're saying, consider areas of the U.S. where RIGHT NOW there are severe shortages of physicians (and there are many such places in the U.S., especially in rural areas); if you're right, health care costs in those areas should be at least double the rate in other areas; but that simply isn't the case. In fact, costs in rural area tend to be lower.
Another factor you've overlooked is that the uninsured are already getting health services for serious conditions - they have no choice. And the cost of those expensive services is already built into existing fee schedules, since providers must recoup the losses incurred in treating those patients by charging more to those who have insurance. So the increase in demand will primarily be for routine services, which tend to be much less expensive. Thus, while I do agree that the extra patients will add to the total cost of health care (primarily because there will be additional routine services delivered [and paid for] that weren't delivered in the past), I disagree that this will cause huge increases in fees. The biggest problem will be longer waits.
These three effects will cause a quite rapid increase in the average health insurance.
I think health care costs will CONTINUE to increase for the same reasons they've risen in the past. That's why in a number of other posts I've stated that I consider Obamacare merely a starting point; important cost-control measures still need to be added. I think the effects you've mentioned will be only minor cost drivers.
The author is probably making the assumption that people will think like him; pay the fine and just buy insurance when you need it. If I remember correctly, ~20% of population has ~80% of cost. So if only these individuals(which will rotate around year over year) bought insurance and the rest paid the fine, then the cost of insurance would increase 300% before the fines subsided some of the cost.
I don't think people will be allow to do what the author thinks. A simple waiting period(7-30 days) before the policy actually starts would prevent most people from trying such a plan because one accident could destroy you financially before coverage would start.