CASE statement and SARGability - specific use case

edit: SQL Server - I'm hoping this is a generic enough question I need not specify version, but most of the instances I'm working with are 2012 or later.

I am not good enough to mock up data and actually test this, so I'm hoping someone could look at it and answer with simple experience.

Imagine you have a state table with American state abbreviations in a column (and it's indexed, like a good lookup column). When writing ad-hoc queries, users will often hit up this column to filter on, but using criteria that represents information that is not implicit in the database.

For example, if they want to get "big states" they may include a filter in their ad-hoc query that shows something like

...
where
  StateAbbreviation in ('AK', 'TX')

aka the dreaded "Business Rules"

So this query is fine, it performs well, and makes use of the index. But, man, what a bear to write every time we need to query "the big states." I'm tempted to create a view with this filter in it's definition to make it easier on them.

The problem here is that those business rules are specific to some number of ad-hoc queries supporting a line of business, but don't really have universal uses. So creating a view that filters out data in this way will have little utility.

So instead of writing a view where that criteria is in the filter, I want to write a view where the criteria result is calculated, such as

select 
  StateAbbreviation
  , IsBig = case when StateAbbreviation in ('AK' , 'TX') then 1 else 0 end
from tblStates

Now, when they want to write a query for big states, they just include

where IsBig = 1

in the query.

So, my question is simple - if the view were called with that criteria, can the index on StateAbbreviation be used?

I know there are all kinds of things I could do inside a CASE statement that may change the answer, so for the purposes of answering this very specific question, assume the case statement will only ever look like that. It will

From experience I would expect the index not to be used in the query against the view. However, to determine if something is SARGable you just need an example query against a data set for which the index is beneficial. So, best to test it.

First I'll create some test data:

CREATE TABLE dbo.tblStates (
StateAbbreviation VARCHAR(2) NOT NULL,
FLUFF VARCHAR(10) NOT NULL
);

-- insert all possible abbreviations to future-proof table
INSERT INTO dbo.tblStates WITH (TABLOCK)
SELECT CHAR(t1.number) + CHAR(t2.number), REPLICATE('Z', 10)
FROM
(
    SELECT number
    from master..spt_values
    WHERE number BETWEEN 65 and 90
) t1
CROSS JOIN 
(
    SELECT number
    from master..spt_values
    WHERE number BETWEEN 65 and 90
) t2;

CREATE INDEX IX_TBL_STATES ON dbo.tblStates (StateAbbreviation);

When running this query we can see that the index is used to do a seek:

SELECT StateAbbreviation
FROM dbo.tblStates
where
StateAbbreviation in ('AK', 'TX');

However, if we create a view:

CREATE VIEW STATE_VIEW
AS
select 
  StateAbbreviation
  , IsBig = case when StateAbbreviation in ('AK' , 'TX') then 1 else 0 end
from tblStates;

The equivalent query no longer uses the index to seek:

SELECT StateAbbreviation
FROM STATE_VIEW
where IsBig = 1;

db fiddle link is here.

StackExchange Database Administrators Q#171337, answer score: 8