I feel like having a story skip option would be beneficial to allowing new, and returning, players to play the most recent content, however I feel that a strict, one time, "skip" is not the right way to go about it. I feel that for Warframe the journey is much more important than the destination, and that playing the quests at my own pace is one of the reasons why I am so invested.
I feel like a better approach would be to allow for the use of loaned Warframe and weapons, similar to how it is handled in Duviri. If done this way, then players could still play new content with friends and experience a variety of Warframes and playstyles while still having their core progression available. I feel that new players should be able to play the new mission nodes and experience the new content without and outright skip of previous content. The systems for loaned Warframes and weapons have already been developed and have shown great promise in Duviri, which would help decrease time and effort on the developers, and I feel that could help alleviate some resistance towards the implementation.