Incorrect. Netflix purchased transit from Level 3 beginning in 2010 and subsequently with Cogent.[1][2]. They then went on to purchase additional transit from Telia, NTT and Tata in order to get routes into the eyeball networks that began making a stink. They eventually agreed to do paid peering with the last mile eyeball networks - AT&T Verizon, Time Warner Cable and Comcast. It seem as though you not understanding peering and transit. Had they been paying for peering there wouldn't have been an issue in the first place. Paid peering was the very thing the last mile networks wanted.[3].
Netflix prior to the roll out of their Open Connect CDN offering used Akamai, Limelight, and Level 3 as their CDN providers. When they rolled out Open Connect they offered ISPs the ability to peer directly with them at number of different peering exchanges.[4] This was a few years after the Level 3 Comcast spat. You seem to be confusing events.
[1] https://qz.com/256586/the-inside-story-of-how-netflix-came-t...
[2] https://archive.is/2AC6C#selection-735.154-735.169
[3] https://arstechnica.com/tech-policy/2014/06/fcc-gets-comcast...