@Pix2022 for full disclosure, we are doing this for our second. Our first DD was born from our second ICSI cycle when I was 41. Since then we have been through the mill.
After a miscarriage and a failed cycle, I felt that if I did a fresh cycle, transferred, failed, waited for a cycle, started again etc that it would take too much time at 44. 4 months would pass between egg collections by which time my fertility would be even worse! So I did 3 back to back egg collections to get as many embryos as possible and then tested.
Your consultant is right really. At 44 you don't have much chance of success. I was lucky in that I got 2 euploid embryos but that was from 24 eggs collected (30 if you count a previous failed cycle before that) and as I said, my transfer failed anyway.
I suppose I was thinking that in your case you already have the eggs so no more collections happening. Of course failures and miscarriages take their toll physically and emotionally. In theory testing may reduce that.
They will only test blastocysts but some people believe that embryos do better inside the body so there is possibly a risk that an embryo that might have worked if transferred on day 3, won't make it to blastocyst in a lab. I don't know how true that is and suspect that is only a very tiny minority of embryos but who knows, it may be a real thing? Certainly ARGC where I used to go, will always do day 2 or 3 transfers if you don't have many embryos to avoid that risk.
They are also not that keen on testing because of the risk to the embryo and the risk of error. Although those risks are low, they are real and they prefer to eliminate all risks if possible.
On the other hand, if you feel that you want to speed things up in terms of avoiding failures then testing the whole lot could work.
My decision making process is always "how will I feel if this doesn't work". I make my decisions based on that and based on avoiding regrets. I may not walk out of this with a baby, but I am trying to avoid wondering "what if" if at all possible.