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enter image description here

This is my curve. I'm trying to achieve a snake like object moving along it. I'm currently using the trim curve along with a float curve as a factor for the radius.

However I want to put distribute instances on the inflated parts that appear and disappear with the size of the radius. As I currently have it set up they follow along with the object. I want them to be static and only enlarge with the enlarged part of the curve.

Is there a way of animating which part of the curve the float curve factor is effecting?

Ultimately I wanted to make a disney style sparkle path (like someone's waving a magic wand).

Here's my node set up: enter image description here

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It takes next to no effort to convert your setup the way you want: in your case trimming the curve offsets the length - reduces it by the trimmed Start value. So do the same without trimming and you don't have to worry about points moving, because the curve isn't changed at all:

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I deliberately positioned the icospheres very densely to show the shapes match, but you probably want to set the resampling Length to $0.135 × 2 = 0.27$ based on the maximum radius specified in the Float Curve:

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