Unless you are playing a F recorder!!! I don’t know too much about them, but I learned that much. The Bass and Alto recorders are F recorders.
This is why I specified I meant soprano or tenor recorders.
As for those other sizes, in F, or great bass in C, I 'm not sure but I understand their parts are written at true pitch, complete with the appropriate key (F or C instead of G) if needed.
I.e. they may be one rare case of a family of winds which are not treated as transposing instruments (like the alto if one read C, played C like on a soprano, but sounded a fifth lower) but have their individual scores written at the proper pitch, just like voices or orchestral strings (violins, alti, etc.).
Not that anything would forbid you to treat the F recorder as a transposing instrument: take a part meant for the soprano (or tenor), read C, finger C, sound F… This would make it easier to play several tones, without having to re-educate your reading/fingering reflexes.
Brewerpaul would know for sure: he plays consort recorders.
I haven’t played in a recorder consort in years - but yes, recorder music is normally written in the key the instrument is supposedly playing.
Some sheet music has parts for both C and F included; others, you need to specifically buy either a C or F score. It’s not really all that hard to switch off from one to the other.
That being said, I often treat my recorders as transposing instruments (ie - I have a score in C I want to play in F, I play it (with C fingering) on a F recorder).
I tend to favor C fingerings, both because I learned them first and they are nearly identical to the D whistle fingerings. But it is far easier to switch over to F than most people think.