Many people mix the two oils - you can see many UOAs of mixes in the UOA section. Personally I have not been able to see any real difference in the results between pure Chevron, pure Delo, or a mix. Either way you get an excellent oil, though theoretically with the Delo you get a much stronger additive pack. On the other hand the Chev can be had dirt cheap on sale.
One issue is that the 15w40 Delo is too heavy for most passenger cars, especially in winter, and the 10w30 is hard to find. That is one reason many people mix. 50/50 Delo 15w40/Chev 5w30 should give a viscosity you can use year-round in many cars, and summer in most, and an excellent oil with a usefully boosted add pack.