I personally do 5 QCDs every year and I have always received a donee acknowledgement from each of them (all over $250).
I also have a client who makes 3 sizable QCDs every year who also receives donee acknowledgements.
The account fiduciary is following your instructions. They are not verifying the validity of your donation.
If you ask, the fiduciary will provide you with a copy of the cancelled check.
"Get a receipt
QCDs are not deductible as charitable contributions on Schedule A. But, as with deductible contributions, the donor must get a written acknowledgement of their contribution from the charitable organization before filing their return.
In general, the acknowledgement must state the date and amount of the contribution and indicate whether the donor received anything of value in return. For details, see the Acknowledgement section in Publication 526, Charitable Contributions.
For more information about IRA distributions and QCDs, see Publication 590-B, Distributions from Individual Retirement Arrangements (IRA).