Import (sync) mechanism does not maintain database invariants.
The load.bety.sh script circumvents database triggers (which enforce constraints) by using doing ALTER TABLE ${T} DISABLE TRIGGER ALL; before adding new rows from the server being imported from. Re-enabling the triggers doesn't check that invariants still hold. While value constraints are most likely maintained (assuming they are maintained on the server being imported from) foreign-key constraints and uniqueness constraints may not hold after the import is done.
For example, machine 0 (ebi-forecast) contains the citations_sites rows
bety=# select * from citations_sites where id in (1272,1273);
citation_id | site_id | created_at | updated_at | id
-------------+------------+----------------------------+----------------------------+------
844 | 1000000191 | 2015-10-26 17:36:01.566832 | 2015-10-26 17:36:01.566832 | 1272
845 | 1000000191 | 2015-10-26 17:38:28.2554 | 2017-04-05 04:01:19.780502 | 1273
If a user imports from this machine but does not also import sites from machine 1, the side_id 1000000191 will likely refer to a row that doesn't exist.
UPDATE: Since uniqueness constraints are implemented via indexes, they seem to be unaffected by the "DISABLE TRIGGER" command. So it is probably mainly foreign-key constraints that are at issue.
This more due to the fact that you only load half the database effectively.
Off of the top of my head, it would seem that if the maintainer of machine X imports from machine Y, and if the maintainer of machine Y has imported from machines A, B, and C, then there is no guarantee that importing from machine Y won't create dangling foreign-key references unless maintainer of X imports from A, B, and C as well.
And of course this is recursive: if machine A has imported from machines D, E, and F, then importing from Y may entail importing from D, E, and F also.
You'd know more than I how much of a problem this is in practice. But aside from the question of whether this sometimes causes imports to fail, it is also inconvenient from a programming perspective not being able to assume that database invariants actually hold true.