Does billing plans affect CDN transfer speed?

Dear the Cloudflare Team,

We are trying to build our own video streaming service on the Cloudflare CDN. Our setup is that we have 2 second chunks of video files stored on Google Cloud Storage, which we’re serving through Cloudflare CDN. However, delivering through through your CDN isn’t yielding higher transfer speeds than directly from Google. We’re located in Ulaanbaatar, Mongolia (City Number 154 on your network), where you have data centers in. The reason we’re interested in a solution for this is that domestic internet traffic isn’t speed-limited in Mongolia and we want to take advantage of that in the country. But cdn doesn’t perform on that level-speed. And we’re currently on the free plan. Does plans affect transfer speed?