Grey area - exploration phase rerolls

Basicly there's no such thing as "exploration phase" in post battle sequence. There is only:
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3 Roll on the Exploration chart. See the Income section for details.
4 Sell Wyrdstone. This can only be done once per post battle sequence.

Am I right?
Of course it's a matter of wording but neverthless wording is very important, cause following items and skill let player reroll a dice...and now the problem:
Mordheim map:

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2-3 Vague. Though crude, the map is generally accurate (well… parts of it are… perhaps!). You may re-roll any one dice during the next exploration phase if you wish but you must accept
the result of the second roll.
5 Accurate. The map is recently made and very detailed. You may re-roll up to three dice during the next exploration phase if you wish. You must accept the result of the second roll.
6 Master map. This is one of the twelve master maps of Mordheim made for Count von Steinhardt of Ostermark. From now on you may always re-roll one dice when rolling on the Exploration chart as long as the Hero who possesses this map was not taken out of action in the battle.

Wyrdstone hunter skill:

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If a Hero with this skill is searching the ruins in the exploration phase you may re-roll one dice when rolling on the Exploration chart. The second result stands.

Wyrdstone Pendulum:

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Special Rules: If he was not taken out, the Hero using the wyrdstone pendulum may make a Leadership test after the battle. If he is successful, you may re-roll any one dice in the Exploration phase.

Tarot CArds:

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Special Rules: A Hero with a deck of tarot cards may consult them before each game. Make a Leadership test. If successful, the Hero gains a favourable insight into the future and you may modify the result of any one dice in the Exploration phase by -1/+1 (even if the Hero with the cards is taken out of action)...

Rabbit's Foot:

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A rabbit's foot allows the warrior wearing it to re-roll one dice during the battle. If not used in the battle, it can be used to re-roll one dice during the Exploration phase, providing the hero is able to search through the ruins.

So basicly there are two types of items: one, that allows a reroll on Exploration Chart ONLY (= how much wyrdstone is found) and the other that allows a reroll in Exploration Phase. Generally speaking I can reroll ANY dice I like when searching for wyrdstone on Exploration Chart or if some doubles, triples or other things happen I can reroll, let's say, amount of halberds I found in Smithy, reroll a 1 in the Pit or see how much XP points my Witch Hunters got in Graveyard.
So how's that? Am I wrong? Or have I discovered something new nasty and ridiculous?

Interestimg topic.

I think the authors did not want to differ between these different items.

But in a detail view you may be right, but i would handle all items in the same way as house rule/ clarification.

In my circle we have always played that the reroll allows one to reroll those results in the table (d3 halberds, T-test in the well, etc.). It doesn't seem to have made the game less fun. In fact, I think allowing it is something that helps keep the Skaven in check as they don't have the LD to make the most use of one of the most potent loot-altering items around - i.e. the Tarot cards.

We've been tenatively allowing re-rolls of any dice for the items listed as you suggest above for the last couple of campaigns. Its seems to be working out.