I do know one foreign company had its adenoviruses undergoing recombination during manufacture, which was supposed to be impossible -- because they were *suppossed* to have two different gene segments removed before being processed further, but someone forgot. Apparently they also lied to the New England Journal of Medicine about one such bad batch being used in a Phase 3 trial or something.
(Source: a link from a pro-jab troll trying to school me on how recombination is impossible).
Also, Harvard published an article about a week ago showing that spike protein was detectable in the bloodstream about a day after the jab. Some deBOOOOOONKers came and and said, "Ha, it proves how safe the jabs are, because the concentrations are measured in picograms / ml of blood."
Guess they forgot the low weight of an individual molecule; my back-of-the-envelope calculations say that works out to about 1 billion spike molecules per milliliter of blood.
It was known months ago that mRNA from the virus (not yet spike protein) is found all over the body within 24 hours of the jab, including crossing the blood-brain barrier; also, that spike protein induces clotting even without virus present.
The adenovirus vaccines raise a lot more questions because of the off-chance they'll propagate themselves, or (as you point out) are more prone to screw ups in how they are manufactured. And those are the ones that the evidence seems to show provoke more adverse reactions.