The value of said data diminishes with time too. You can totally do an off-site cloud backup with mitigation fallbacks should another country become unfriendly. Hell, shard them such that you need n-of-m backups to reconstruct and host each node in a different jurisdiction.
Not that South Korea couldn't have Samsung's Joyent acquisition handle it.
aes128 has been the formal standard for 23 years. The only "foreseeable" event that could challenge it is quantum computing. The likely post quantum replacement is ... aes256, which is already a NIST standard. NIST won't replace aes256 in the foreseeable future.
All that aside, there is no shortage of ciphers. If you are worried about one being broken, chain a few of them together.
And finally, no secret has to last forever. Western governments tend to declassify just about everything after 50 years. After 100 everyone involved is well and truly dead.
When the flops required to break an algo exceed the energy available on the planet, items are secure beyond any reasonable doubt.