I am wondering if there is something in common in your process or that you have installed that potentially interferes with the DVD burning? I have been burning DVD's for my daughter's small business frequently lately and have been using the following Macs and OS's:
2008 iMac 10.11 (El Capitan) built in DVD burner
2010 Macbook Air 10.13 (High Sierra) external Superdrive
2017 Macbook Pro 10.14 (Mojave) external Superdrive
The Superdrive requires a higher power port and this can be important. This seems to work best when nothing else is connected via USB, a simple one to one USB connection is used, and also when other processes are closed down. For instance, I found that the Superdrive does not work when connected to the Macbook Pro through a USB-C to USB adaptor if the adaptor has multiple ports -- maybe it is dividing the power out through those ports and then the Superdrive gets inadequate power? If the adaptor is a simple one-to-one USB-C to USB converter, it works fine. Likewise, any external dock with multiple ports might suffer from this problem. Could this be a factor for you? Also, the iMac with the built in DVD burner works fine with its built in device but the external Superdrive did not work with it the one time I tried it (I forget why I tried that, seems it would be unnecessary given the built in burner).
You could also try creating a new user on one of your Macs and see if the new vanilla user does not have the problem.
I have found that about 1 in 10 DVD burning attempts results in a failed verification, I am guessing due to media irregularities. It helps to use name brand DVDs, I suspect they are more reliable. The DVD in those failed verifications can still be read, but I always throw those ones away and redo it.