I wouldn't do even in animal experimentation except for the study of mosaicism during development. If it survives early stage, the embryo would come to have over 2 different genetic constitutions of cell lineages. Although the embryo reaches specific stages of cell differentiation or migration along with multiple developmental signals at time and space, part of embryonic cells cannot respond due to missing chromosome(s) containing many critical developmental genes that would affect normal cell differentiation and growth, resulting in deformed embryo and fetus. This would harm maternal body, too without notice. Therefore, it should be a right decision even with a parent request. It is a matter of becoming a human being, not an animal we concern here!
People have transferred aneuploid embryos with successful outcome eg:
Fragouli, E., Alfarawati, S., Spath, K., Babariya, D., Tarozzi, N., Borini, A. and Wells, D., 2017. Analysis of implantation and ongoing pregnancy rates following the transfer of mosaic diploid–aneuploid blastocysts. Human Genetics, pp.1-15.
Even if the biopsy is aneuploid it doesn't mean the fetus will necessarily be affected; it's up to you and the patients whether you think the risk is worth the chance of having a healthy baby.
Do you honestly think that they report the cases that have failed or caused serious problems due to arrested or decaying fetus? We will never know the number of failure.
The pre-implantation Embryology needs more research. The PGS has moved more rapidly than our understanding of the embryo. We know that higher percentage of embryos are abnormal after day-3 biopsy as compared with day-5 biopsy. The embryos have ability to correct. The aspect to consider is that on day-5 biopsy we are taking cells from the trophectoderm which is not fully representative of the inner cell mass that results into fetus. The trophectoderm has to become a buffer zone between fetus and the recipient's immune system, therefore undergoes some transformation to prevent rejection. Artificial amplification of DNA (PCR) is also questionable? Is this process really 100% accurate? In vivo during DNA replication, corrections are made. Can this in vitro replication correct errors?
Births of genetically normal babies after transfer of aneuploid embryos puts the PGS process in questionable state. Are all labs having the same standards and qualified people to interpret the results? Reports have been on getting different results by sending biopsies of the same embryo to two different labs. What is the source of these variations? Until the PGS and our knowledge of the embryo becomes highly accurate, we will be wasting many embryos that have the potential to result into normal babies.
Tests are now available that can detect the normality of the fetus at about 10 weeks. My opinion is to transfer mosaic embryo and recommend the recipient to do NIPT (Non-invasive prenatal test) or NIFTY (Non-invasive fetal trisomy test) at 10 weeks).