Of course you should trust the results and publish them anyway (or so should happen in an ideal world ;) ), but they may be disregarded as uninteresting or unwo

Of course you should trust the results and publish them anyway (or so should happen in an ideal world ;) ), but they may be disregarded as uninteresting or unworthy in their domain when reviewed. P-value and effect sizes by themselves are not meaningful enough, you should always consider the full context of the experiment, subject of study and domain. Edit/PS: 3x or more is excessive though.