The question of whether INTJs lack empathy is a complex one, as it depends on how empathy is defined and understood. Empathy is generally described as the ability to understand and share the feelings of others, and it can be divided into two main types: cognitive empathy and affective empathy.

Cognitive empathy refers to the ability to understand and intellectually grasp the emotions and perspectives of others. INTJs, being logical and analytical thinkers, are often quite capable of cognitive empathy. They can analyze situations, put themselves in someone else's shoes, and understand the emotions and motivations behind their actions. This allows them to offer practical advice and solutions to problems, even if they may not personally experience the same emotions.

On the other hand, affective empathy refers to the ability to emotionally connect with others and feel their emotions as if they were one's own. This is where INTJs may struggle more compared to some other personality types. INTJs tend to prioritize rationality and objectivity over emotions, and they may find it challenging to fully experience and express emotions themselves, let alone connect with the emotions of others. This can sometimes lead to a perception that INTJs lack empathy.

However, it is important to note that lacking affective empathy does not mean INTJs are completely devoid of empathy altogether. They may still care about others' well-being and be genuinely concerned about their problems, even if they don't always express it in an emotionally charged way. INTJs may show empathy by offering practical solutions, providing logical advice, or using their problem-solving skills to help others navigate difficult situations.

It is also worth mentioning that empathy is a skill that can be developed and improved upon. While INTJs may naturally lean towards cognitive empathy, they can work on developing their affective empathy by consciously practicing emotional awareness, actively listening to others, and making an effort to understand and validate their emotions.

In conclusion, while INTJs may struggle with affective empathy, they are not necessarily lacking in empathy as a whole. They can still understand and intellectually grasp the emotions of others, and they may express empathy in their own unique way through practical problem-solving and logical support.