A white guy laid off in that instance would probably feel relieved. To elaborate, white men already reference diversity metrics to rationalize why they were not hired so naturally they would do the same when laid off.
On the face of it, it doesn't make much sense that your ethnicity should affect the truth value of your statement. Being a certain ethnicity can make you more likely to have the requisite experience for certain perspectives, but it can't actually alter the reality of an argument.
Even if you make a generalization about your own ethnicity, it's still a generalization that's not particularly helpful. If an argument is considered inappropriate because it targets a different ethnicity and is also an unhelpful generalization, it does not suddenly become helpful when retargeted to the speakers' own group.
