Hi Mike: I love the multi-way example, thanks for sharing it!
I do admit that your example does raise some practical issues with enforcement, that is, if you make the decision to enforce a different count for everyone. (And I can totally see Nick flipping out here regarding the incompetency of the dealer -

)
I'll have to think about it some more because the situation you've set up is a doozy. My initial instinct though is this - in at least two cases, a reliance is made on the dealer's count. Is that fact really entitled to no weight at all? Is the balance between the potential "unfairness" that may arise and the convenience of applying the AA rule really justifiable?
If I may, let me put my own twist on the same example. Let's put Player 1 in seat 2, and Players 2-4 in seats 8, 9 and 10, for example. Player 1 presumably knows how many chips he has, because he is the one that was holding them and then put them out in front (or at the very least, he is closest to his own stack as in the best position to handle his chips and count them). Say he knows, or ought to know, how many chips he has (98k). So when the dealer gives the incorrect count to player 3, player 1 says nothing, and same when the dealer gives the incorrect count to player 4. But meanwhile, the other players are trying to eyeball the chips from way across the table to try to visually confirm that the count by the dealer was correct. In most cases, I think that it is natural for players to rely on the dealer's count here; but vis-a-vis Player 1 and any other player, there is an information imbalance. If one of the players were to ask the TD "can you please push the chips to me so that I can count them myself since I will be on the hook for a wrong count" or at least "can I get out of my seat and go over to count player 1's stack", are we obliged to let them do this now? It's not like the pot where dealers are simply not permitted to count it at all.
Your multi-way situation though definitely gives me food for thought, but if the issue is only the practical matter of working out who is on the hook for what, I may have considered the problem in a slightly different way. In this case, an "exact" amount
has been given by the dealer, AND it was relied upon by a player who called, AND all players including Player 1 had a reasonable time to object but did not. You could apply the proposed amended rule so that the initial wager is now
deemed to be a 93.5K stack, period, since it satisfies all of the criteria of the "dealer count exception". Basically, it becomes the "opposite" of the current AA -- in current AA, everyone pays 98K; with a dealer count exception, every potential caller pays the
lowest dealer-confirmed amount (93.5K) that has been relied upon. You could argue that everyone "accepted" THAT action (the 93.5 count), and you do not have the problems associated with the different splits in the example of the previous post (it is equally "convenient" to apply, I think).
Essentially, current AA places the whole burden of getting the count right on the caller. The amended rule would modify this so that AA places the initial burden on the caller, but the caller can satisfy this burden by asking the dealer for an exact count, which then flips the burden back onto the initial bettor (who I think is in the best position out of everyone at the table to see the chips, handle the chips, and discover a discrepancy) to advise if the dealer's count is wrong. The burden of getting the count right is thus shared, as I think it should if the dealer is permitted to get involved.
FWIW: The European Poker Tour Rules has a somewhat similar provision (although I would
not treat dealer counts the same as player counts)... I'm not sure offhand where they got these provisions from if they borrowed them from somewhere, but it's something to consider:
41. Accepted Action - If a player requests a count but receives incorrect information from the Dealer or another player at the table...
The amount of chips is smaller than the stated and accepted wager (i.e. Dealer/Player says 80,000 and the all in is 50,000) the calling player shall only be required to pay the 50,000 in physical chip value.
The amount of chips is larger than the stated and accepted wager (i.e. Dealer/Player says 100,000 and the all in is 150,000) the calling player shall only be required to pay the 100,000 as the agreed upon wager.
[...]
Anyhow, if you really think that there would be a lot of resistance to this type of change, perhaps a compromise might be a good second choice, with some modified wording to the current AA rule along the lines of: "...Rule 1 may apply in certain situations at tournament director’s discretion.
In particular, where a player has relied upon a count, given by the dealer, that is substantially different from the actual amount of the bet, the player may be entitled to relief from the TD".
Good discussion.