Freezing is a great way to store most types of dry garden seeds. If the seed is the type that comes in a packet, and sits around on a shelf for months or years before getting planted, then it's a great candidate for freezing.
There are some tropical seeds that shouldn't be dehydrated, because the embryo dies. Those seeds
should likewise not be frozen. Avocado would be an example of this kind of seed.
High moisture content in the seeds can lead to damage during freezing, therefore make sure that the seeds are well dried before freezing. If a seed smears when hit with a hammer, it isn't dry
enough. If it shatters, then it's ready for freezing. I sometimes do the bite test.... If it's crunchy then it's dry enough to be frozen. If it's chewy, it's not ready for freezing.
Freeze in some kind of water-proof container. When the seeds are taken out of the freezer, moisture condenses onto the packaging. Which is fine if that's a plastic bag, or a glass jar. It's not ok for moisture to condense directly onto the seeds or a paper seed packet.
Freezing extends the storage life indefinitely. And it prevents insect predation. When they are ready for storage, I put most of my seeds in the freezer for a few days to kill seed eating insects, larva, and eggs. I don't have sufficient space to store seeds long-term in the freezer.
I don't have personal
experience with vacuum packing. I store most of my seeds in glass jars with steel lids. Bugs chew through plastic bags to re-infest seeds. Neither
mice nor insects can get into sealed glass jars.