I've never seen any actual evidence that corroborates that claim, so there is nothing for me to trust.
I'm cofident that certain cases of terminal disease have counted as Covid deaths; health officials have admitted as much. It's often difficult to determine the extent to which a comorbidity impacted the result. For instance, my grandfather had advanced Alzheimer's. It was going to kill him, but the prognosis gave him another 2 or 3 years. Covid got into his care facility and he was the 5th of 11 total deaths. He had a terminal disease for which there is no cure, but he was still alive before he caught Covid, so how should his death be classified?
But, to the extent that the numbers are inflated by comorbid cases, we also know that some states undercounted their cases. Andrew Cuomo had a book to sell and didn't want anyone to know how many old people he'd murdered, so his team fudged the numbers.