I assume that you're using jet engine turbine blades as a substitute for whatever serialized product you're really thinking of, but generally speaking, if a product is serialized, then there is already a database somewhere with essentially every such item in it. There might be multiple databases, say, if there was no central registry but the manufacturers kept their own databases in-house, but the databases and the ability to look up the information would generally exist at some level.
Being able to pull up history that way is an option on at least some such databases. I worked at Boeing on the software that generated certain manuals for their 737NG and 777 fleets, and their database included every single installed item on every single aircraft, and every change along the timeline from date-of-delivery to present. Now, Boeing probably doesn't have patents on their methods, but there is plenty of NPL on it -- weirdly enough, I ran into a guy in a bar in Amsterdam who was writing software in-house at his air freight company to interface with Boeing's database architecture, and he had to get the how-to information from somewhere. (Overheard him talking about his job with someone, and said, "Hey, I used to do that too!" Talk about a WTF moment.)
Another such system might be Canada's gun registry, which operated across multiple manufacturers' product lines and tracked ownership over time.
So, if this database concept is really that trivial, then while the concept might be patentable
subject matter, it's been done so many times for so many products that it is unlikely to be patentable
over the prior art. You'd have to make a case that this was somehow a really innovative concept for Your Client's Product, but if everyone's serializing the things, then it's hard for me to see how it could be.
Anyway, "in principle" some European countries would allow such patents. Give it a shot and see what happens.
