In this particular though, the spec explicitly talks about that [0]
> Since software that implements IEEE 754-2008 binary64 (double precision) numbers [IEEE754] is generally available and widely used, good interoperability can be achieved by implementations that expect no more precision or range than these provide...
[0] https://datatracker.ietf.org/doc/html/rfc7159#section-6
Which means that if you are putting 64 bit integers into JSON and require every bit to be used, you are not actually creating a JSON which is compatible with all the consumers. For example, such JSON is not compatible with browser. Here is what my Firefox's JQ console says:
>> x = '{"id":675127116845989888,"id_str":"675127116845989888"}'
<- "{\"id\":675127116845989888,\"id_str\":\"675127116845989888\"}"
>> JSON.parse(x)
<- Object { id: 675127116845989900, id_str: "675127116845989888" }