Does it make sense to store a couple of Boolean values as array?
TL;DR: Do not use an array. Use individual boolean columns.



Your coworker may not be aware of actual storage requirements. Null storage is very cheap and efficient in Postgres.


Do nullable columns occupy additional space in PostgreSQL?


A couple of boolean columns are also very cheap and efficient - nullable or not. Actually, just 5 boolean columns hardly matter for the row size at all - even if defined NOT NULL. 1 byte each, 5 bytes and no alignment restrictions. Hardly relevant. There are typically much more substantial things you can do to your row. (You should have provided your actual table definition.)


Configuring PostgreSQL for read performance


Arrays have an overhead of 24 bytes. Plus actual data. And handling is much less convenient and much more expensive:


Calculating and saving space in PostgreSQL


This related answer has a detailed assessment for three relevant options:


separate boolean columns
an integer to encode up to 32 boolean values
a bitstring (bit(n) or bit varying(n))





Is there any difference between integer and bit(n) data types for a bitmask?