OU is probably the largest hechsher out there, with the most research and expertise. All the other hechsherim use OU materials and policies all the time on many things.
For me:
I only use OU tuna with bishul yisroel/hashgacha temidis.
I don’t rely on OU-D, but will confirm if OU-D items are just dairy equipment or are actual dairy, on a case by case basis.
I only buy meat with an OU (generally BYL or another reliably beis yosef brand)
I try to buy canned and processed foods with a chashash of pas akum or bishul akum with a heimish hechsher where they take care of these concerns.