Yes, very limited in fact. They are sold out until July and even then still pretty limited. That's another issue here, that's a business they do not want to cannibalize.
That makes the choice of $15 and thinking it would be enough to keep demand low enough even more ridiculous.
Assuming I read this right, the cheapest VIP tour is $425/hour, minimum 7 hours, $2,975 but good for 10 people. Say $300 per person for a day. Could even be $600 or more if you use the max cost and do not have 10 people in the group.
Now, one would assume that LL can support more people than VIP tours can, so the quantity sold can be larger. But, they already knew that even at over $300 per person they are selling out of VIP tours. For that matter, they know that ILL are selling out every day too.
They could raise the VIP tour price, raise the G+ price, raise the ILL price, raise them all and still not drive demand low enough to make them not run out of capacity. Certainly to a price higher than many here would pay.
Would even $100 be enough to reduce demand? Just like buying 2 park tickets instead of 1 per person. One to get in and one to get a shorter wait.
At $15, even with 4 people over 6 days, the extra cost is small compared to the cost of the entire trip. It feels like you have to spend it. If it was over $2,000 it would certainly feel different in that comparison.