Establishing a site is hard. Every time you start again with a different new site, there is a daunting shadow. There are no shortcuts. There are no cheats. You always go back to square one. The most daunting thing to do is to wait for those conversions to start pouring in, maybe even drip in. One thing to consider is that the growth curve of conversions is different from the way traffic behaves. Conversions grow a lot slower than you would expect. When you start getting traffic, normally, these are from non competitive keywords. That only means there will be no conversion.
It all depends on competitiveness. Search engines will always compare your site with other sites that are relevant to your keywords or search terms. Building a new site now has its disadvantages. This is because the site will not be compare to one site only but to other competing sites also. It could start from 15 to thousands. A new site does not have the trust value yet. The link profile is also very low and you have no social media history. An older site will not have this kind of issue if they are doing their jobs well. This means the traffic that you will probably get will be non competitive and as said earlier, they will not convert well.
These scenarios are very uncommon to new sites that were made viral, are under heavy PR and marketing or there is a pre-existing brand or power behind it already. It is crucial to be patient if you want to start getting conversions. Traffic is a good gauge for a different story. If you are seeking conversions, you also need to be aware of what is ranking and what is not. This will help you in becoming more competitive and as you progress with your SEO and marketing, you will slowly establish your business and prominence.