Trust issues???
I really don't see how that can be derived from what the OP asked?
Sure, you could have issues with different sleeping times and trust, but the OP didn't suggest anything like that.
So quite the jump to say it's trust issues.

For me kind of similar sleeping rhythms and times are quite important but have nothing to do with trust issues.
As I said in an earlier post, it has consequences if patterns are very different. For instance...
-not going to bed together, which could also affect sexlife, but just always missing the intimate moment of going to bed & sleep together...
- no breakfast together, which I find quite important
- not matching in what you do during the evening as levels of energy will very likely be different too. Me being an evening person, I got more energy then while an early riser and sleeper will probably be half asleep when I'm at my best. Different sleep rhythms usually also mean very different times of having much energy which will affect the relationship.

and so on.
If you don't care about the things mentioned above then I guess it doesn't matter. To me these things do matter, a lot.
Nothing to do with trust issues.

I don't get why people jump to conclusions??

Ladywind commented that she did not like waking to find her partner on the phone talking to a female from god knows where ..

That is what the trust issue comments relate to .

Ah, okay, hadn't seen that :)
And difficult to deal with, depending of course how they are about it: secretive and defensive or not. But I still wouldn't like that.
But in all honesty that's not related per say to different sleep patterns. I know cause I've been there and the man in question had the same sleep pattern. It's more a poor choice of partner.

I used to work night shifts for 4 years, so there was no such thing as a night's sleep lol, but I slept 2-3 hours in the daytime.

Now I go to bed at around 8pm and wake up a couple of hours later, then go back to sleep until 4.30am.

My ex husband didn't work so he slept all day

I ate with you different sleeping patterns does effect the relationship. not because of trust but because of the lost moments