On average, they may not.
But it definitely will be true in some cases, as happens in some cases of adoption, where parental bonding sometimes fails or there was never a true intention (sadly) of ever establishing a strong filial/family bond with the child for various reasons.
People can even fail to bond securely and positively with their own biological conceived and carried children, let alone one gestated and birthed by someone else, who may not have any of their genes
Both in cases of adoption and surrogacy you are raising a child who has endured trauma. The challenge of that alone can mean a strong parental bond never becomes established or the child doesn't respond positively no matter how much the parent thinks they are trying. I have heard stories from people who have been adopted that are heartbreaking. They were effectively traumatised twice. Sometimes the trauma they endured after fostering and adoption was worse than the trauma they were originally removed from.
If anything I would say the bonding failure rate of parents who choose surrogacy is likely to be both significant and higher in percentage rate than those in failed adoption.
Firstly there is no years of preparation (one's having your own children or having spent years yearning for a child is not the same) no assessments and testing for fitness. That means if the desire to employ surrogacy stems from mental or emotional health issues, or from abusive or dysfunctional family dynamics or even weird fetishistic ideas, (a 'rainbow family' for e.g.), or something darker, there's no one to vet.
Then there is a sense of entitlement to use another woman's body and even exchange funds for the child, then remove the child from the mother. That means there's a mental commodification and disembodiment of the baby that may, for various reasons, not ever evolve into one of seeing a baby as a fully fledged human being.
If you think that last statement was too strong, there have been many cases of people abandoning a surrogate baby when it turns out to have a disability and proves to be less than 'perfect' even when they have enough wealth to get the best healthcare and therapy that would, in some cases, completely ameliorate the effects of the disability, thus revealing the underlying commodity thinking. This can even include a baby with simply a prominent birthmark that is deemed unaesthetically pleasing. For more on this look up surrogacy in Ukraine, but there have been high profiles cases of surrogate baby abandonment in the news.
People also abandon babies that might not be the preferred sex. Or are twins.
Then you have the issue of dealing with another mother having birthed the child. That can be difficult to overcome. There may later be resultant guilt or just a feeling of difference and resentment that may emerge later.
Then the assumption that because this is a brand new baby it will automatically fit in with pre-existing children. But the child may not quite gel with their other siblings growing up, and the differences start to be clearer and again resentment forms.
As someone said up thread there are probably few longitudinal studies on outcomes