Does the statement: "If I had money, I would do it again" in the context of wishing to perform Hajj again constitute a vow (nadhr)? And is one obliged to fulfill it if the intention (niyyah) was not present, and does repeating this phrase necessitate performing multiple Hajj pilgrimages?

There is no contradiction between the two answers. A vow (nadhr) requires a صيغة (formulation) that expresses commitment, such as "لله عليّ" (It is a duty upon me for Allah) or "عليّ" (Upon me). Whereas "If what I desire happens, I will do such-and-such" does not in itself indicate commitment. However, if the speaker intended a vow with this formulation, then it becomes a vow by intention. In the questioner's case, his statement "If I had money, I would do it again" is not considered a vow unless he intended it as such. It appears he was merely expressing a wish, therefore, he is not bound by a vow to perform Hajj.