Skill level necessary to clear HW MSQ content

[Brightamethyst]

Right now I am contemplating halting the MSQ altogether and just focus on getting EX primals done synced as well as the Coil (especially savage, from which I will get the greatest skill gains, especially if done synced). Only once I can get that stuff done with any consistency may I resume the MSQ.

That's pretty backwards. MSQ is designed to be accessible while raids and EX primals are designed to be hard, optional content. You should be using MSQ and easier content to prepare for EXs and raids, not the other way around.