dst1 doesn't get an OID column:
regression=# create table src1 (f1 int) with oids;
CREATE TABLE
regression=# create table dst1 (like src1);
CREATE TABLE
regression=# \d+ src1 Table "public.src1"Column | Type | Modifiers | Storage | Stats target |
Description
--------+---------+-----------+---------+--------------+-------------f1 | integer | | plain |
|
Has OIDs: yes
regression=# \d+ dst1 Table "public.dst1"Column | Type | Modifiers | Storage | Stats target |
Description
--------+---------+-----------+---------+--------------+-------------f1 | integer | | plain |
|
If you don't find that problematic, how about this case?
regression=# create table src2 (f1 int, primary key(oid)) with oids;
CREATE TABLE
regression=# create table dst2 (like src2 including indexes);
ERROR: column "oid" named in key does not exist
regards, tom lane