According to the definition of the transformer, the points will be output in the order from start side of the original line. So you can add sequencial number (0, 1, 2 ...) to the points with the Counter.
For example, if the interval is 100m, you can then calculate the measure value by multiplying the sequential number by 100.
If there are multiple lines to be processed, specify unique ID attribute of lines to Counter Name parameter of the Counter, so that the sequential numbers will be grouped by lines. If there is not ID, consider using another Counter to add temporary ID to each line.
Of course you can create your own workflow to create interval points. That will be an interesting challenge.