Unless you are building a pistol with a very large bore, and plan to shoot heavy charges with it There is no reason for concern.
If you are planning the above , you wouldn't want to use quarter sawed wood.
If you are building a target pistol of light caliber, .54 or below with a fast twist barrel, even quarter sawed wood would work.
The only pistol stock I have seen break was one being loaded on a crappy loading stand that didn't support the grip. It broke while being loaded.