The controversy is in regard of the second (currently pending) AP. The rules stipulate (well, in my interpretation, anyway) that any pending AP will be deemed abandoned if the beneficiary leaves the country, but we've seen a number of examples when it simply does not happen. In your case, if you return before the previous AP expires, it does not really matter. If the second AP gets denied, you just re-file I-131 again.
Traveling while the previous AP is valid should not be a problem, as 140_takes_4ever points out. If you are not subject to 3 or 10 year bar, that is.