EXPLAIN(GENERIC_PLAN) failing for some queries

I want to identify every query in my company’s database that potentially uses full table scans.
To do this, I wrote a simple PL/pgSQL function that generates an execution plan for each query from pg_stat_statements and then searches the plan for the 'Seq Scan' pattern.
Most queries contain parameters, so I use EXPLAIN (GENERIC_PLAN). This works for approximately 80% of queries, but it fails in the following scenarios:

1. Planner cannot infer parameter types without explicit casts
The following fails: EXPLAIN (GENERIC_PLAN) SELECT * FROM tbl WHERE id = $1 + $2;
The following works: EXPLAIN (GENERIC_PLAN) SELECT * FROM tbl WHERE id = $1::integer + $2::integer;

2. Parameter is used in EXTRACT
The following fails: EXPLAIN (GENERIC_PLAN) SELECT * FROM tbl WHERE EXTRACT($1 FROM date_col) = 1;
The following works: EXPLAIN (GENERIC_PLAN) SELECT * FROM tbl WHERE date_part($1, date_col) = 1;

3. Parameter is used in type 'string' notation
The following fails: EXPLAIN (GENERIC_PLAN) SELECT int $1;
The following works: EXPLAIN (GENERIC_PLAN) SELECT $1::int;

I modified my procedure to account for these scenarios, but I am not sure whether there are other issues with EXPLAIN (GENERIC_PLAN) that I am not aware of.
Problem #1 is mentioned in the EXPLAIN documentation
(https://www.postgresql.org/docs/18/sql-explain.html) at the bottom of the page, but the other cases are not.
My questions are:
Are all of the issues described above expected behavior for EXPLAIN (GENERIC_PLAN)?
Are there other known scenarios where EXPLAIN (GENERIC_PLAN) will fail?
Should the EXPLAIN documentation be updated to list scenarios in which EXPLAIN (GENERIC_PLAN) can fail?
Yuri Kutsko