No they don't know that. Yes, they do argue over how stable a p value for small sample really and especially over should one accept p value below 0.05 for small sample as statistically significant. But...
There are two ways to account for small sample size: confidence limits and sensitivity analysis. Any good statistician will always provide both. Ask one you know.
And, I guess playing with numbers is still time better spent than making arguments based only on fact void opinions. Yes?