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As if this would ever happen
While I think it's not the best idea in the world it could actually happen.
Funnily enough I had this conversation with my now pro player friend 2 days ago in which he whined to me that 3D a puppet they play never gains and lost several times already to which I replied with my standard "yeah, it sucks what else is new".
They play 1N with 5M332 additionally to Gazilli after 1M-1N... I fail to see the logic in that but w/e. They say those 5M-3-3-2's screw their fancy relay structure after 1M-2C because then some particular 6-4-3-0 wouldn't be biddable. Besides they won the Spingold and not me so what do I know
Btw, to add somethign constructive to this post link to Pavlicek's stats:
http://www.rpbridge.net/9x14.htm
http://www.rpbridge.net/9x13.htm
Not many hands, still very significant difference!
As to puppet, yeah if you must, play it as 2NT and then after 3C (no 5cdM) add some bids to show (1-3)-(5-4) as you want that in your system. Similarly 3361 and 3316 is probably a good idea to puppet with, so that's some hands already :-)
I don't know what exactly Meckwell play but:
1N 2N
3C 3H/3S = stiff, 3N = to play, 3D = 33(61) looks reasonable.
If you do that then you can even puppet with those 3M-(4-4-2)'s as they won't double your 3C so 0.6imps once every 11 boards is worth collecting! Then there is 3-3-(5-2) as well which may actually be significant gain as with 3-3 in majors you hit the jackpot twice as often.
When I look at this structure I am actually getting excited about the puppet thing!
I don't exactly follow the structure from OP, but you if you do that with 5431 (5-3M) then you need something different with 5M-3M-(3-2) as you really don't want to end up in 4M with that opposite 4-3-3-3! This one sucks hard as these:
http://www.rpbridge.net/8z17.htm
stats show.