I'm going to answer the question you asked:
"Does anyone lie to get a little free time or am I the only loser here?"
Yes - my ex told me that my free time is his time. He hated me going out without him, I used to lie whenever I went out with my friends. There was an occasion when I went to the cinema with my friend. So I told him I was at work - doing overtime. This was my usual alibi, but it didn't work this time because he decided to surprise me at work with flowers (check up on me). When he discovered I wasn't at work, he went into a rage and drove over to my house, parked up on my driveway and started calling me. When I came out of the cinema I saw I had 120 missed calls.
When I eventually called him back he was going ape-shit and screaming down the phone and threatening all kinds. I let my friend listen and she insisted that I came home with her. I didn't go home, to my beautiful home that I had worked hard to save up to get a mortgage, renovate and decorate, for two days because I was scared.
He didn't live with me and he didn't have a key to get into my home. I ended up apologising to him for upsetting him that evening. He used this episode to support his campaign to move in with me, so that he could keep an eye on me. Apparently I'd broken his trust and our bond together. I didn't agree and let him move in, but this was the beginning of the verbal abuse. I eventually left him and needed help from the police in order to feel safe.
Out of interest, are your family aware that they're your alibi? Will they cover for you if he decides to check up on you?
I won't tell you to ltb because you don't want to hear it and you're not ready to leave. But please stand up for yourself and tell the truth, if you lie and he finds out you're giving him ammunition for his ridiculous campaign to control you.