Fred, in his well-reasoned posts commented that he had a few conventions that he really felt were unsound, and one of them happens to be a convention that I like to play in my partnerships: two way drury.
Now, I recognize that a battle of bridge theory opinion between me and Fred would be a bit like the Polish cavalry charges against German tanks in 1939, and it doesn't take a genius to figure out who is riding the wrong horse, so to speak.
But, I would be interested in hearing why 2WD is a bad convention.
Let me start the ball rolling.
All conventions have costs and benefits and these costs and benefits depend upon the context in which the convention is used: in particular, upon other methods that may be impacted by use or non-use of the convention.
Thus, I usually, but not always, play 2WD in the context of a fairly loose weak 2♦ opening.
I am not wanting to open a debate on the wisdom of that approach, but it seems to me that the availability of this device reduces the probability of having a natural use for a response of 2♦, by a passed hand, to a 3rd or 4th seat 1Major.
In other methods, such as where 2♦ is a multi, the cost of losing the natural 2♦ may be significantly higher.
I also usually play that a 3rd seat and, to a lesser degree, 4th seat 1Major opening can be on a 4 card suit, with 4 card hearts more common than 4 card spades. Again, if one generally requires 5 cards to open 1Major in 3rd and 4th seat, the benefit from distinguishing 3 and 4 card raises is somewhat (but not entirely) reduced.
Against that backdrop, it seems to me that 2WD offers some significant advantages, which I will attempt to address before turning to costs.
1. In my serious partnerships, we have two entirely different artificial schemes for constructive bidding after a 3 card drury than we do after a 4 card drury, based on the assumption that we will not (usually) want to play in notrump once we uncover 4 card support. Thus we can dedicate 2N (and, in some sequences) 3N to artificial uses, whereas notrump tends to be a more attractive denomination after a 3 card raise.... even when opener has a 5 card major... 5332 opposite 4333 or 4432 (with 3 card support) may well play better for 9 tricks in notrump than in the major, but this is less-likely when we have a 5-4 fit.
2. While we have, largely, got by the opps already, it is not impossible for the opps to balance, especially after a 3rd seat 1♥ opening over which opener signs off in 2♥ after drury. In that case, it may be useful for opener, in deciding whether to compete, to know that partner holds 4+ support. BTW, I am not listing factors in order of perceived importance... I rate this one very low, because I play primarily at imps, where balancing is less aggressive, and, in any event, we have already got by the opponents at least once, and half the time our suit is spades, making a successful balance at the 3-level dangerous and rare.
3. When opener has a decent hand, knowing of the degree of fit can make a difference in the decision to bid game, especially if the trump suit is weak. Axxxx opposite a 3 card raise is significantly weaker than Axxxx opposite a 4 card raise, and the same is true if we hold a 6 card suit. Qxxxxx opposite xxxx is far better than Qxxxxx opposite xxx.
4. When opener has a great hand, again, the degree of fit may warrant or argue against a slam try.
These are the benefits that occur to me as I write.. others may have differing ideas.
As to cost:
1. We lose a natural 2♦. The frequency of this cost will depend upon system. Those playing a weak 2♦ will suffer less than those who have to pass with KQ109xx of diamonds and a side card.
2. As part of that cost, we will have to decide whether to play a forcing or semi-forcing or non-forcing 1N response to a 3rd and 4th seat 1Major. I personally play semi-forcing: opener always rebids with shape or with a hand that still offers any play for game opposite a maximum 1N. This might seem to enhance one's ability to back into diamonds, if opener rebids 2♣. Honesty compells me to admit that we use 2♦ there as artificial
3. We give the opps two ways to double... they can double 2♦ as well as 2♣. I think this is a straw man argument: if they play double of drury as takeout of the major, giving them a double of 2♣ or 2♦ makes no difference, and if they use the double of 2♦ as lead-directing, they probably have the hand to bid 2♦, relatively safely, over our 2♣.
I am sure that there are other, and significant, costs to the approach, but I am not aware of them. I was hoping, by this post, to engage Fred and others in a discussion... I am not wedded to any method, and if 2WD is indeed a defective convention, I look forward to abandoning it, especially if my partners can be shown the error of their (and my) ways.
Looking back on this post, I see that I acknowledge the possible loss of a natural 2♦ call. In my most successful partnership, with which we accompanied Fred to his second BB where we crashed and burned, we actually adopted 2WD to stop us from being able to respond with a natural 2♦

Help
