We can’t do what you ask with the default behavior – Eggplant analyzes each image captured and automatically selects Precise, Tolerant, or Pulsing based on the properties of that image (so despite appearances, it’s not just snapping back to Tolerant all the time). We think that’s an important feature of the image capture routines.
We do have a Preference setting to turn off the autodetection feature, but it’s not working quite the way I thought it was designed, and even if it were, the popup wouldn’t currently be sticky. There’s some debate here over the relative merits of that approach. No matter which way we go with it, someone is always going to forget to change the Search Type at some point and wind up with an image that is potentially unreliable. The question then becomes, is the scenario you describe (lots of selections of a particular type) the most likely reason for disabling autodetection or not?
If you have any additional arguments in support of the “sticky” behavior, let us know.