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These are the Top 5 finishers in goals and assists for the 5 Cups that Moore won:
1956 Points
1. Beliveau 19
2. Geoffrion 14
3. Olmstead 14
4. M Richard 14
5. Moore 9
1957 Points
1. Geoffrion 18
2. Beliveau 12
3. M Richard 11
4. Moore 10
5. Olmstead 9
1958 Points
1. M Richard 15
2. Beliveau 12
3. Geoffrion 11
4. Harvey 11
5. Moore 11
1959 Points
1. Moore 17
2. Bonin 15
3. Geoffrion 13
4. Harvey 12
5. H Richard 11
1960 Points
1. Geoffrion 12
2. H Richard 12
3. Moore 10
4. Beliveau 7
5. Bonin 5
1956 Goals
1. Beliveau 12
2. Geoffrion 5
3. M Richard 5
4. Olmstead 4
5. H Richard 4
1957 Goals
1. Geoffrion 11
2. M Richard 8
3. Beliveau 6
4. Moore 3
5. Curry 3
1958 Goals
1. M Richard 11
2. Geoffrion 6
3. Beliveau 4
4. Goyette 4
5. Moore 4
1959 Goals
1. Bonin 10
2. Provost 6
3. Moore 5
4. Geoffrion 5
5. H Richard/Backstrom 3
1960 Goals
1. Moore 6
2. Beliveau 5
3. Harvey 3
4. H Richard 3
5. (Three with 2)
Moore was clearly behind the top 3 forwards in 56, 57, and 58. He came into his own in 59 and 60 (the same years Henri Richard started showing up high in the scoring lists), and then was injured before the Canadiens got themselves together for the 60s dynasty.
Here's a comparison of Henri Richard and Dickie Moore during the dynasty with their rank among teammates that year.
1956
Dickie Moore: 9 points (5), 3 goals (6T)
Henri Richard: 8 points (6), 4 goals (4T)
1957
Dickie Moore: 10 points (4), 3 goals (4T)
Henri Richard: 8 points (6), 2 goals (6T)
1958
Dickie Moore: 11 points (3T), 4 goals (3T)
Henri Richard: 8 points (6), 1 goal
1959
Dickie Moore: 17 points (1), 5 goals (3)
Henri Richard: 11 points (5), 3 goals (5)
1960
Dickie Moore: 10 points (3), 6 goals (1)
Henri Richard: 12 points (1T), 3 goals (3T)
Overall 1956-60:
1. Bernie Geoffrion 49GP 29-39-68
2. Dickie Moore 49GP 21-36-57
3. Jean Beliveau 41GP 28-27-55
4. Henri Richard 49GP 13-34-47
5. Maurice Richard 42GP 25-19-44
6. Doug Harvey 49GP 8-32-40
7. Bert Olmstead 51GP 11-28-39
Conclusion:
Do Henri Richard's defensive responsibilities (and the corresponding lack of PP time) make up for the 10 point advantage that Moore has over him during this time frame? I think it brings them to about even. And then look at the huge longevity advantage that Henri Richard owns, and his major contributions to six other Cup winners, and he has to end up quite a few spots ahead of Moore on the list.
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