Changing the start point of a variable width profile

[ABkc4here]

I'm trying to figure out how to change the start position of a preset variable with profile, like the example image. Flipping the profile horizontally or vertically (the only choices I could find) will not do it. 

For clarity:

I want to rotate the profile along the path. Not use the width tool to change the preset (what's the point of the preset if you have to do that?) and not create then cut random points along the path. 

Thanks!

[Mike_Gondek]

 

Cut path at the anchor point

 

 

[ABkc4here]

And that's the only way? Meaning, if i wanted the thin part to start in between to anchors, I'd have to first make the new point then cut the path?

[Myra Ferguson]

You could use the Width Tool (Shift + W) to adjust the width manually

[ABkc4here]

Thank you, but that's not what I'm asking. I've edited my question for clarity.

[Ton Frederiks]

Just modify the Width profile on that path.

[ABkc4here]

That would defeat the purpose of using a preset. I just want to be able to what MikeGondek suggested without cutting a perfectly sound closed path, or even better randomly choose where the start and stop happen.

[Ton Frederiks]

That looks like a feature request.

https://illustrator.uservoice.com

[ABkc4here]

Thanks for the link. I have posted the request!

[Myra Ferguson]

There's a plugin, Vectorscribe from Astute Graphics, that can reposition anchor points.

[ABkc4here]

That is fancy and seems to fit the bill. Shame it's not available within the program. Thank you!