Dorman has moved into a lot bigger arena for parts, maybe their a middle-man for others and slap there name on them. My problem with Bosch parts have been ones that have an electrical component, i.e o2 sensors etc.
If it's critical or difficult to get to I lean towards oem, other parts I'll look at warranty and price, as well as what happens should it fail while on the road.
Dorman is ok for wheel studs, I use them all the time. I had some problems with MAS ball joints and suspension arms, and Dorman bought MAS. So that alone would be my reason to stay away.
Bosch - I guess the Germans can't handle electronics reliably, even if they invented lots of them for automotive use, like the CAN data bus, ABS module and oxygen sensors, etc.
NGK/NTK and Denso do better with electronics, although they have to license things from Bosch. For ignition products I'd go NGK instead of Bosch.
Back to OP's question, Beck Arnley had one time reboxed some OEM stuff, it seems like most of their stuff is aftermarket these days. Some prefer their ball joints, I've used some ATF filter kits, axle oil seals. Seem ok. For relays go with WVE by NTK. NTK is the ceramic side of the group and NGK makes the ignition products.