Clearly the play of PG is important. Perhaps moreso in this system. His play in losses since the thigh injury:

OPP	RESULT		FG%	3P%	FT%	REB	AST	BLK	STL	PF	TO	PTS
vs	L 93-106	0.286	0	0.5	6	4	0	1	2	4	9
IND												
												
@	L 117-119	0.455	0	1	0	5	0	2	2	3	14
IND												
												
@	L 95-99		0.4	0.286	1	5	4	0	1	1	8	12
DET												
												
@	L 95-100	0.462	0.5	0.7	2	4	0	0	6	1	21
MIL												
												
vs	L 86-96		0.4	0.444	1	3	3	0	1	3	5	21
BOS												
												
vs	L 99-111	0.417	0.375	1	2	3	0	0	3	2	17
ORL												
												
vs	L 96-102	0.273	0.2	0	1	4	0	0	3	1	7
MIL												
												
@	L 106-114	0.375	0.167	1	1	10	1	0	2	0	14
CHA												
												
												
Averages		0.3835	0.2465	0.775	2.5	4.625	0.125	0.625	2.75	3	14.375

Chauncey's performance in wins

OPP	RESULT		FG%	3P%	FT%	REB	AST	BLK	STL	PF	TO	PTS
vs	W 120-99	0.556	0.5	1	0	8	0	2	5	1	18
MEM												
											
vs	W 113-106	0.4	0.333	0.75	6	6	0	0	1	0	17
ORL												
												
vs	W 120-116	0.435	0.333	1	6	6	0	1	2	0	33
NJ												
												
												
Averages:		0.464	0.389	0.917	4.000	6.667	0.000	1.000	2.667	0.333	22.667

Comparing wins to losses against his season average (NYK and DEN):

	FG%	3P%	FT%	REB	AST	BLK	STL	PF	TO	PTS
	0.428	0.404	0.915	2.7	5.3	0.2	1	2.1	2.5	16.9
										
losses	-4.5%	-15.8%	-14.0%	-0.2	-0.675	-0.075	-0.375	0.65	0.5	-2.525
wins	3.6%	-1.5%	0.2%	1.300	1.367	-0.200	0.000	0.567	-2.167	5.767

in wins he scores ~6 points more, commits ~2 TOs less, and has ~ 1.5 TOs and rebounds more than his season average.

in losses he shoots 16% worse from three, 14% worse from the stripe, and scores 2.5 points less. He has ~ 0.5 less assists and steals than his season average.

Clearly, he wasn't playing so great after the thigh injury. But he is seemingly being asked to perform more like Chauncey in his prime as opposed to the 34 year old Chauncey.