Kane had scored on six of the seven previous occasions when he had been the No 1 pick, but that run ended on Sunday.
While Tottenham Hotspur beat Sheff Utd 4-0, Kane was not involved in any of the goals and returned only two points.
GW34 most-captained players
|Player||Captained by ('000s)||Points|
Bruno Fernandes (£11.5m) and Mohamed Salah (£12.7m) were second and third in the captaincy stakes.
The rearrangement of the fixture will be announced in due course.
Most-captained by top 100
Among the leading 100 managers, Son Heung-min (£9.6m) and Kelechi Iheanacho (£6.3m) replaced Fernandes and Salah in the top three, and their backers were rewarded.
Son produced his 11th double-figure haul of the season as he claimed a goal and an assist against Sheff Utd, breaking the 200 FPL points mark for the first time in his career.
GW34 most transferred-in players
|Player||Transferred in by ('000s)||Points|
Kane, Iheanacho, and Son were also the three most-bought players ahead of Gameweek 34.
Son and Kane are the second and third most-owned players after Fernandes, while Iheanacho's ownership has increased from 24,687 ahead of Gameweek 26 to over 2m.
GW34 most transferred-out players
|Player||Transferred out by ('000s)||Points|
Over 206,000 managers have lost patience with Fernandes following his recent poor form. The Portuguese is the only player among the three most-sold players who is neither injured nor suspended.
John Stones (£5.1m) served the second of a three-match ban.
Managers also sold Aaron Cresswell (£5.6m), who was a doubt for West Ham United's trip to Burnley on Monday. Although he played the full fixture, the defender did not return in the 2-1 victory, claiming only two points.
Also in this series
Part 1: FDR Analysis: Time to consider Everton
Part 3: GW34 Bonus points: Antonio returns to claim a maximum
Part 4: FPL Saturday review: Watkins in form for Double Gameweek
Part 5: GW34 Lessons: European clubs causing rotation issues
Part 6: GW34 Lessons: Red-hot Bale to shake up run-in
Part 7: Who to target from clubs still in Europe? What the experts say