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Good question. Looking at that section now, it's pretty unclear. The intention was that bonuses for highlighting or starring a strength replace the bonuses from a lower level. If a bonus doesn't change by highlighting or starring then it's not mentioned, but you still keep it. Taking Crafty as an example:

Crafty

+1d when using environmental elements. +1d when disguising.

Highlight: +2d when disguising. +1d when searching. (And you still get +1d when using environmental elements.)

Star: +2d when disguising, searching, or using environmental elements.

Or Alert:

Alert

+1d when searching. +1d when evading.

Highlight: +2d when searching. When generating a new area or searching, after rolling choose one item. Modify the roll for this item by +/-1. (And +1d when evading.)

Star: +3d when searching. When generating a new area or searching, after rolling on the Random Items table you may reroll one item. (When generating a new area or searching, after rolling choose one item. Modify the roll for this item by +/-1.  +1d when evading.)

Although with all of that said if you want to just make every bonus cumulative go for it.

That makes sense, thanks!