Many people share the same misunderstanding; herpes/canker sore confusion is very common. Many of our moms don't know the difference, and their kids grow up hearing canker sores called cold sores. And until around 20 years ago, many (most?) physicians thought canker sores are sometimes caused by HSV.
You may still have oral HSV-1, since half of all adults have it, mostly acquired in childhood; most have no symptoms, so lack of typical cold sores isn't evidence you aren't carrying the virus. But if you are, it's unrelated to the canker sores.
Welcome to the STD forum.
The main issue here is not whether or not saliva can transmit HSV. It probably can, although rarely. Indeed there is confusing information on the web. The apparent disagreement comes down either to misunderstanding, or because some websites do not distinguish between transmission risk in recent versus longstanding infection.
First, in response to having "three cold sores in my mouth": sores inside the mouth usually are canker sores, not herpes. Recurrent oral herpes (cold sores) almost always is on the outer parts of the lips or elsewhere on the face. Canker sores are not cold sores.
Self-transmission of infection to a new body part is called auto-inoculation. It is almost entirely limited to the initial herpes infection -- i.e. within a few weeks after the virus is first acquired. People with longstanding HSV (of either type) are immune, or at least highly resistant, to new infections with the same virus type, anywhere on the body. Therefore, auto-inoculation is rare in the situation you describe. If you have oral herpes, almost certainly it is HSV-1, since HSV-2 oral infections are very rare. So not only are you immune to transferring your infection to your penis, if you have oral herpes, you also will never catch genital HSV-1 from a partner, for example if s/he performs oral sex on you.
I hope this helps. Best wishes-- HHH, MD
Thank you for your very swift response.
I guess I have been confused. My lesions are always inside the mouth, and meet the description of a canker sore. I had thought that these were herpetic. Since they aren't, as you have just told me, I can't say that I know whether or not I have oral herpes.