the time that I was not sick

How are you?

If someone said,
'I would like to go back to the time that I was not sick.'

I'd think that sounds weird and that it would be much better if it was,
'I would like to go back to the time WHEN I was not sick.'

Did I get it right?
I would have no doubt about it if I hadn't run into these.
Let me show you some expressions which include 'the time that S V'


1. From the time that I was a child, I loved interacting with people.
https://www.brainyquote.com/quotes/jeff_koons_550631

2. I never thought I'd be unfaithful. The whole time that we were kissing, I kept thinking - Why don't I feel guilty?
https://craigslistconfessional.com/stories/2018/8/11/i-never-thought-that-i-would-be-unfaithful-the-whole-time-that-we-were-kissing-i-kept-thinking-why-dont-i-feel-guilty

3. This brings me back to the time that I was a Sunday School teacher in the First Presbyterian Church in Astoria, Long Island, New York.
( From a book 'I flunked Santa Cluas' by Joyce Holsclaw )

Are these just very rare examples people usually wouldn't use?
I wish you tell me these are, strictly speaking, all wrong so I don't need to care.

Thank you for reading.
Any comments will be greatly appreciated.