I am sorry to bring down your expectations, but I feel pve team does not like changing their backup naming standard, or any other descriptive details about it, even if many could find it useful, even as an option: file naming obvioulsy has implications with the overall flow, like max_backups setting, but a workaround could be found.
This topic has surfaced this forum a few times, search the forums, but simply they end up to ignore requests like these. They don't want this to happen, apparently. Maybe for good reasons, but I don't know which.
In the past - years ago - I even submitted code (it's just some perl code, anyway, as a newbie the most difficult part was understand how vzdump worked) that worked on my pve - it also had an option to append vm conf to backup log IIRC, since extracting it from the big backup file is slow, but that code broke at first update (it was about 1.x versions IIRC), and I was discouraged.
Even if probably a post-backup script could rename backup files according to vm details, this will clash with the above max_backups setting and the like, so it's not a good way. Vzdump should handle this.
my 2c
Marco