I ride mainly rural roads, so more than half the time there's nobody but me at the intersection.
If someone else is there, I will stop and put my foot down.
If I'm pretty much alone, I will do a 'rolling stop,' just applying the brakes and peddling again as soon as I'm almost halted.
I never just breeze through, unless I'm really tired and really in the middle of nowhere, and can see that there's not a car in sight (or anywhere for it to appear from for at least a mile in each direction.)