I think this case will affect legal cases that deal directly with custody and other issues related to family courts, however not as greatly as if the case occured in the us. Britian does not adhere to the idea of legal precedent in court cases, and each case is considered on an individual basis.
I strongly believe it will. A British teenager who died of cancer has been cryogenically frozen in the United States after winning a court case before her death. This therefore, might have an impact in future court cases if only the result or outcome is not as expected to be.
The cryogenically frozen cancer patient case will affect future court cases because that is how the court system works. Courts base future decisions on past precedent. This case will have effect on future cases only to the extent those future cases involve similar questions of law and similar issues of fact.
Yes, the cryogenically frozen cancer patient case will likely affect future cases. The fact that the girl was allowed to freeze her body until a cure is found is groundbreaking and will likely lead to others being allowed to do the same. If a cure is found and she is successfully brought back, everyone may want to do the same.