It wasn't so much that his parents didn't care about him.
However, more so than that, they trusted in his capabilities, so they no longer spoiled him as much as they had when he was a child. Sometimes, what his parents wanted more was to train him and let him solve the problem on his own.
Moreover, his parents were already half-retired. It was Peter's personal desire to help the researchers leave, and he hadn't informed them about the situation beforehand, either. Furthermore, he had even been under the watchful eye of the security officers during the emergency. This had prevented him from filling in his parents about the situation. As a result, he could only use the secret code that he had established with Mia.
If he had hinted at the situation to his parents instead, they definitely wouldn't have reacted as anxiously as Mia—after all, the two of them knew what he was capable of all too well.