TL;DR
A "game" would be the map you created from a seed and the saves would be snapshots in time of your progress of said map.What ?
Introduce an extra layer of abstraction "game" which can have one or more saves.I believe this would better fit the mental model most users build when using the interface.
The continue button should refer to the current game by name.
Why ?
No accidental overwrites of different games by design.A set of autosaves for all games would yield more safety and a better experience.
Less clutter when saving/reloading.
Why not ?
It's an extra layer of abstraction.Not a very common concept, but I think I vaguely remember seeing it before.
More bandwidth/storage required for extra autosaves.
Finally
A bit jet-lagged, so this suggestion is a little "drafty", but let me know what you thinkAlso steam nuked my latest save costing me 50 hours of intense refactoring. Really could have used those fucking autosaves :-/