My personal thoughts are that records should be WELL kept.

My personal experience is that it is impossible to keep up with ALL the kitties coming and going.

In my own rescue group many different people initially bring cats into the shelter, which means each cat would go to that person's local vet. And then later, the cats may move to a different foster home and end up going to a different vet. And sometimes more than once.

So while it is nice to know, it is sometimes "lost in the shuffle." All you can do is ask for the best account of their records as possible, and leave the rest to chance (just like if you attained an older cat directly off the street.......you would know nothing)