"worse"?
I breastfed until age 5 but used formula in the beginning due to bad latch.
I'd always give the formula at night, this was a bad decision out of desperation due to wanting to get some sleep before I went to co-sleeping which ended all that trouble.
I gave it at night because she would guzzle it down and go to sleep for 7 hours.
A baby uses BM completely differently to formula. Babies are meant to wake up frequently throughout the night, they need to check they are safe, have their heartbeat regulated, and suckle to build milk supply.
When I got my daughter off formula (3.5m) yes, she woke frequently, saw I was right next to her, and drifted back, or sometimes suckled.
Babies are not born with the ability to sleep alone, self soothe, or without the innate need to suckle.
All they want is to be close to us and fed and loved, nothing more.
Formula stretches the gut a lot because it has 80% casein which is not what BM naturally has, we have much less in our lactation as each lactation is specific to its species. The closest milk to human is actually donkey but the dairy industry doesn't operate on what's best, but what's profitable.
So we use cows' lactation which is totally unsuitable as a gut lining, immune system priming, baby-specific species-specific babyfood, but it's what we have. I used it myself and yes the difference was very noticeable. She also was very red when having formula.
If you want to mitigate any of this used pace feeding or a specific bottle that mimics the breast and paced feeding. Let the baby suckle up to age 5 when natural weaning would happen (we don't catch up to evolution quickly as we do society, that need is still there)