This is a great question, and there are a few reasons why "be going to" is often omitted in English textbooks and infographics about the future continuous tense for beginners:
Simplicity and Clarity: Textbooks for beginners usually aim to simplify concepts. Introducing too many structures at once can be overwhelming. Since "will" is more straightforward and direct, it's often preferred in early learning materials.
Frequency of Use: "Will" is more commonly used in future continuous contexts compared to "be going to." For instance, saying "I will be doing" is often more natural than "I am going to be doing," particularly in spoken English. This frequency of use might lead textbooks to prioritize "will" to align with real-world usage patterns.
Specificity of Meaning: "Be going to" in the future continuous tense tends to emphasize the intention or plan behind an action, which might not be necessary for beginners to grasp initially. The slight nuance can be confusing for those new to the language.
Progression in Learning: Many textbooks introduce the "be going to" structure in its simpler form first (for future simple), before moving on to more complex uses like the future continuous tense. This gradual progression helps learners build their understanding step by step.
Teaching Focus: Often, the focus is on getting students comfortable with the concept of continuous actions in the future, and "will" serves this teaching purpose effectively without additional complexity.
Avoiding Confusion: Beginners might find it confusing to understand the different nuances between "will" and "be going to" in continuous forms, so educators often stick to the more straightforward option.
While both forms are indeed correct, these reasons help explain why "will" is often emphasized in learning materials for beginners. As learners advance, they are typically introduced to "be going to" in more complex structures.