LIMIT not showing all results

Okay, the subject is a little misleading because of course LIMIT isn't supposed to all results, but I've got an issue where LIMIT isn't showing the number of results I would expect. For example:

mydb=> select id,name,date from analysis where name = 'foo' order by date desc limit 3;
id | name | date
-----------+-------------+------------------------
195898786 | foo | 2019-03-05 06:45:29+00
(1 row)

mydb=> select id,name,date from analysis where name = 'foo' order by date desc limit 20;
id | name | date
-----------+-------------+------------------------
195898786 | foo | 2019-03-05 06:45:29+00

But when I query without limit (or even with "limit all"), there are more:

mydb=> select id,name,date from analysis where name = 'foo' order by date desc;
id | name | date
-----------+-------------+------------------------
195898786 | foo | 2019-03-05 06:45:29+00
195842671 | foo | 2019-01-24 14:31:45+00
195667475 | foo | 2018-12-30 23:40:11+00
195256709 | foo | 2018-10-29 18:33:07+00
...
(Many more rows)

psql version 9.6.11.
Server version 9.4.20.

We just migrated the database from one server to another (as far as I know, there was no version change), and it worked previously.

Any ideas?

Many thanks in advance.
Casey