And I will be the first to agree and disagree with Adam's view.
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(1) When your methods don't allow you to accurately describe both your shape and your strength, it's better to describe shape even if this requires you to overbid a little. This is because being in the right strain but wrong level is usually less of a disaster than vice versa, and because opponents sometimes misdefend odds-against games. I agree with Hannie on this point.
I agree with this notion. If you have to make a choice between being in the right strain or the right level, then being in the right strain typically works out better.
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(2) On the other hand, I think these "impossible to describe" hands are sometimes a sign of bad methods, and that by playing better methods you will improve results. Both Hannie's example hands are much easier to bid in standard american type methods rather than 2/1, for example the second hand 1♠-2♦-2♥-3♥ basically shows the strength and the side suit, and partner is much more likely to make the right game/no game decision, whereas in 2/1 after starting with 1NT (forcing) partner's odds of making the right decision are not great and as long as I'm deciding for him I might as well bid game based on point 1.
I think this is picking at one of the flaws of 2/1 without taking the whole system into consideration. The fact that the forcing 1NT is flawed is well understood. Do you think it would be right if we sat here and picked out some flawed aspects of Standard American and used that to discuss "impossible to describe"? I also want to note that part of the flaw is due to system restrictions. I fully believe that transfers at the 2-level opposite a 1M opening are much better, yet they are not allowed at GCC level. So, do I cry over spilt milk, or do I just work with the best system I can use given the regulations?
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(3) Finally, I think that in many cases methods are such that it's easier to upgrade a hand than to downgrade. If I have some shapely ten-count that will make game opposite a good fit, I can pass first and then bid my head off if a fit materializes later (well okay, assuming the hand doesn't pass out). If I open and it turns out there is no good fit then it's hard to put on the brakes when partner's already game forced with the misfitting 12-count. So I prefer to be a pessimist in constructive auctions where I have good odds to "catch up later" after determining degree of fit.
This is again to the point of system regulations. If I could use a non- game forcing relay and bail out on misfit hands, it would be much better. But I can't, so I make do. (Unlike the above example, this is a difference between mid and super charts.) Also, the fact that we are in some bad 3NTs might be more than made up for by the fact that we are in the auction early and opponents are on the defensive.
So overall, while I agree with your point about methods solving some of these problems, I'm sure you will agree that it's unfair to argue those points in isolation and that system regulations can have a profound effect on what we methods we choose to play.
Hannie's point was that you sometimes have to take a view in your own system and that overbidding might make sense in certain circumstances. I don't believe you if you say that in your system, you never have to make such a decision. Especially as when there are competitive auctions, these decisions will arise more frequently.