I need to get the amount of records with a certain filter.
Theoretically this instruction:
_dbContext.People.Count (w => w.Type == 1);
sorry for the bump, but...
probably the reason the query with the where clause is slow is because you didnt provide your database a fast way to execute it.
in case of the select count(*) from People query we dont need to know the actual data for each field and we can just use a small index that doesnt have all these fields in them so we havent got to spend our slow I/O on. The database software would be clever enough to see that the primary key index requires the least I/O to do the count on. The pk id's require less space than the full row so you get more back to count per I/O block so you can complete faster.
Now in the case of the query with the Type it needs to read the Type to determine it's value. You should create an index on Type if you want your query to be fast or else it will have to do a very slow full table scan, reading all rows. It helps when your values are more discriminating. A column Gender (usually) only has two values and isnt very discriminating, a primary key column where every value is unique is highly dscriminating. Higher discriminating values will result in a shorter index range scan and a faster result to the count.