The Theory of Visual Attention (TVA) has predominantly found application in highly structured experimental paradigms, including letter-based whole- and partial-report tasks, and temporal order judgments. This focus on particular tasks is driven by the necessity to formalize and the paradigms with align with TVA's quantitative model. In our ongoing research, we aim to extend the utility of TVA by applying it to a more flexible task, visual foraging. Visual foraging, a spatially oriented selection task where participants collect diverse items from "patches", introduces several challenges to TVA. Unlike traditional visual search experiments that consist of discrete trials with single reactions, foraging unfolds as a continuous task, where foragers "navigate" through an environment, posing questions that have yet to be addressed within the TVA framework. For instance, how do TVA's attentional control parameters dynamically evolve during foraging within a patch? How does the functional viewing field adapt to facilitate a more efficient spatial organization? In the presence of uncertainty regarding remaining targets in a patch, how long does the visual system "wait" for target-related information before transitioning to a new search area? The implementation of a generative simulation brings these questions to the forefront. We compare simulated foraging to experimental data to highlight current shortcomings in TVA and to identify potential solutions, providing insights into the adaptability of TVA in addressing challenges posed by more flexible, real-world visual tasks.