Under these inputs, both launchpad paths recover their spending before the single release does. Their benefit started three months earlier, on half the initial outlay.
The improvement work moved recovery from the end of month 8 to the end of month 10, because each month added a fee before it added a gain. Through month 12 it brought in what it cost: $36,000 in fees and $36,000 in added contribution. In month 12 that site contributes $14,000. The launchpad alone contributes $6,000, and the single release contributes $10,000. Whether that gap holds in the second year is one more assumption, and the example doesn't test it.
Launching earlier and continuing to pay for improvement are separate decisions, and the second has its own costs and gains. The gain from a single cycle is hard to isolate, because other things change in the same month. We'd judge the improvement work across several cycles against what those cycles cost.
Change one input and the order changes. Suppose the improvement work adds nothing and continues at the same fee. The site contributes $6,000 a month against a $4,000 fee. That leaves $2,000 a month toward the $30,000 launchpad, and recovery moves to the end of month 18. The single release got there six months sooner.