It's probably not due to that. The effect of search history tends to be overstated and blamed for any inconsistency. They're not making the search pageload wait on a live chatgpt call, the card is driven by contents of the linked website.

Differences usually are either intentional A/B Testing or artifacts of Google's global architecture. You hit Google twice you're talking to different servers potentially with different versions of software. Companies take advantage of that to see how user behavior compares between versions as a form of testing. Additionally, if you and someone in a different continent hit Google, you're not even using the same data center. Different databases/caches in those data centers will have different data at any one time but they'll eventually become consistent. That causes results to change both person to person and over time.