If you're an honest website owner, who follows the submittal policies, you won't have problems. And if you do have problems, editors will be glad to help you get around them.
If you aren't, we can't predict exactly what problems you'll have, only that (1) they will NOT be limited to site-effects of ODP procedures, and (2) they can NOT be evaded by manipulation of the ODP procedures, and (3) the editors may well act to make them worse -- as a matter of keeping the ODP running efficiently.
Jim refers to a specific automatic procedure: his answer is with specific reference to that, and it is accurate (insofar as that automatic procedure works, which is most of the time.)
I spoke with reference to the more general question: what are the practical effects of the automatic procedures Jim describes (as well as the behavior of real editors, in the presence of actual submittal behaviors.) And I say in tens of thousands of edits I have never once seen an actual confirmed problem of the sort you're worried about. Submittal date isn't that big a deal at best; in the presence of sites good enough to be suggested by surfers, it's an absolute non-problem.
It isn't worth your time to worry about ODP procedures. They're designed to get good sites listed, and if they cease to be effective, editors will be the first ones to complain. But they are effective because the people that work them want to list good sites. THAT'S your defense against accidental rejection -- not that there's a bullet-proof, idiot-proof, corruption-proof Grand Procedure For Everything -- but that there are editors who want to list sites.