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Is 1-1-1-1 an Exception to 4th Suit Forcing to Game?

Suppose you play 4th suit bids by responder as forcing to game.

Consider the following two auctions:

A) 

W
N
E
S
1
P
1
P
1
P
1
?

B) 

W
N
E
S
1
P
1
P
1
P
2
?

On his website, Larry Cohen notes that some partnerships prefer to play auction A as NOT being a 4th suit game force, instead reserving this auction as natural (so South could respond 1 and make a rebid response of 1 with a 6-count and 6-4 in the two suits, respectively).  In the case that the first three bids in their auction are 1-1-1, partnerships playing 1 as natural would have to use 2 as the 4th suit game force, as shown in Auction B.

Alternatively, I have heard others argue that what is more standard is to use the fourth bid in Auction A as an artificial game force but to use the fourth bid in Auction B as a natural game force.  In other words, in the first case, responder isn't saying anything about s but in the second case responder is doing so.

Finally, I have heard some say that a 1 rebid of the fourth suit by responder doesn't have to game-forcing but does require invitational-plus values.

For those of you who play 4th suit forcing to game, what is your approach to this?

For those who do not play 4th suit forcing to game, please abstain.

Comments here would be helpful.

FWIW, my preference has always been for Auction A to be completely natural and forcing for just one round, with responder being allowed to make the 1 rebid even w/ no extra values (say, a 6 count), but for responder's rebid in Auction B to be an artificial game force that obviously doesn't preclude responder from holding a decent suit but does not promise it, either.

In Auction A, I play 1 as natural and not game-forcing; in Auction B, I play 2 as artificial and game-forcing. Further, bidding 1 in Auction A can be done with a dead minimum response.
In Auction A, I play 1 as artificial and game-forcing; in Auction B, I play 2 as natural and game-forcing.
In Auction A, I play 1 as natural and not game-forcing; in Auction B, I play 2 as artificial and game-forcing. However, bidding 1 in Auction A does require extra values (invitational+).
In Auction A, I play 1 as natural and not game-forcing; in Auction B, I play 2 as natural and game-forcing.
I do play fourth suit forcing to game but none of the above options describe how I handle these auctions. (Explain if you have a second :))

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