Getting away from the computer clearly helped -- I "spotted" the trick required when I was out walking today
Okay, since I'm not the only one doing this, I'll post my stats so far and we can compare notes.
This is through to the end of Hurricane. All levels not listed are 100% saved. Bolded results are above the level's requirement.
Calm 3 "We Are Lem-Bob-Omb!"
46/50Calm 18 "Clumps"
73/75Calm 19 "Iron Industry"
unsolvableWindy 3 "You Lempty-Headed Creatures!"
49/50Windy 11 "From Pillar to Post"
13/15Windy 14 "The Landing Strip" 29/30
Windy 15 "For the Greater Good" 49/50
Windy 16 "Try to Compromise Before You Cue" 98/100
Windy 17 "X Marks Nothing" 29/30
Windy 19 "Mizmaze" 19/20
Stormy 2 "Bibbledi-Bobbledi-Boo" 4/5
Stormy 3 "Diamond Ribs"
unsolvableStormy 4 "Rule of Three" 2/3
Stormy 5 "Timing & Space" 19/20
Stormy 6 "A Breezy Breeze" 24/25
Stormy 8 "Broad Pit"
29/30Stormy 9 "A Matter of Pragmatism" 97/100
Stormy 12 "High Jump" 16/20
Stormy 13 "Hexakosioihexekontahexaphobiacs"
20/30Stormy 14 "Lemesis" 9/10
Stormy 15 "So Logical" 9/10
Stormy 18 "Merchant Ship"
unsolvableStormy 19 "Tree-Athlon" 87/100
Hurricane 1 "No Justice for Heroes"
39/45Hurricane 3 "The Warehouse"
79/80Hurricane 4 "Alea Iacta Est"
99/100Hurricane 5 "Candelabrum"
unsolvableHurricane 6 "Condemned to Die"
probably unsolvableHurricane 7 "Stargazers"
19/20Hurricane 9 "Blue Monday"
41/50Hurricane 11 "The Great Breakout"
79/80Hurricane 13 "The Barbarous Bars"
47/50Hurricane 18 "A-maze-ing Factory" 3/4
Hurricane 19 "Balance Your Strategy" 19/20
Hurricane 20 "Cuba Libra"
unsolvable