that I was vs when I was

Some examples from the web:

• I'm saying that I was hallucinating.
• She told me that I was different from other kids.
• Maybe she dreamt that I was coming.
• Say you saw me, that I was crying.
• And they all believed that I was her.
• Maybe you thought that I was drunk, but no.
• Just that I was a dancer in a show.
• They told me that I was sick.
• Anyway, I told him that I was sick.
• I told Robert just now that I was certain of your acquittal.
• It means that I was in love with Geoff Hammond.
• My wife was warned that I was in danger.
• All that I was is gone.
• I could finally be the me that I was on the inside.
• I can't believe that I was actually worried about you.
• I want to stress that I was young.
• Most people think that I was an actress.
• I forgot that I was speaking to a psychotic mind Who snaps and kills people impulsively.
• Telling him that I was in the gateroom, messing with the consoles.
• Annoyed that I was monopolizing her.

Some examples from the web:

• Recording artist when I was young.
• He died when I was young.
• Started dancing when I was 13.
• I saw something pretty traumatic when I was three.
• But when I was in front of him, I knew that nothing could hurt me.
• It's a scar from when I was little.
• It was my mom's specialty when I was a kid.
• This did not happen when I was younger.
• I mean, I met the guy when I was.
• But I stopped believing in monsters when I was 12.
• Our folks died when I was 13.
• I felt like that when I was there.
• I loved spelling bees when I was your age.
• We called them polly seeds when I was a kid.
• I must have carried this home when I was drunk last night.
• Exactly like mine when I was your age.
• She was killed when I was four.
• He went to heaven when I was 9 years old.
• It's the same when I was at school.
• I inflicted a lot of putrefying diseases on men when I was an avenging demon.