So it turns out NG thought it was a bit too spicy for their site after all. So after months of being on the site without issue, it was taken down. Here are some new links to the video if you're still interested in viewing it.
Rule34video: https://rule34video.com/videos/3056586/rocking-lincoln-s-log/
Xhamster: https://xhamster.com/videos/the-loud-house-lunacoln-xhPG5Dl
xKAiiRUx
Wait what? Why was this removed? Doesn't seem like anything out the ordinary. And I've seen much worse on this site.
RedAvient
You got me. I figured it was because they thought the characters were underage but I specifically made it clear in the tags and the description that the characters were 18+. Guess they just overlooked it.