Klay Thompson has the best record by an active player in the playoffs at home and when playing >30 games, with a record of 66-16.

current nba players with best home playoff record in over 30 games

NAME	GP	REC	W%	MPG	PPG	RPG	APG	SPG	BPG	TPG	FGM	FGA	FG%	3PM	3PA	3P%	FTM	FTA	FT%	MIN	PTS	REB	AST	STL	BLK	TOV	PF	+/-
Klay Thompson	82	66-16	.805	36.9	19.5	3.8	2.5	0.9	0.5	1.8	7.3	16.6	43.9	3.1	7.8	39.5	1.9	2.1	89.7	3,028	1,601	314	207	74	41	144	196	+618
Draymond Green	81	65-16	.802	34.7	12.2	9.2	6.3	1.6	1.4	2.5	4.3	9.6	44.5	1.0	3.4	30.3	2.6	3.4	75.3	2,809	985	744	514	132	112	200	298	+786
JaVale McGee	40	32-8	.800	11.8	5.2	3.8	0.6	0.3	1.0	0.8	2.3	3.7	63.3	0.0	0.1	0.0	0.6	1.0	59.0	474	209	152	22	11	38	30	71	+120
Kevon Looney	39	31-8	.795	22.2	6.6	7.6	2.1	0.7	0.6	0.6	2.9	4.8	60.3	0.0	0.0	0.0	0.7	1.2	59.6	864	256	297	82	26	22	25	96	+171
Stephen Curry	75	58-17	.773	37.0	27.0	5.5	6.1	1.6	0.3	3.4	9.0	19.5	46.1	4.4	10.6	41.3	4.6	5.2	89.4	2,772	2,027	412	457	120	25	254	181	+777
Kyrie Irving	35	27-8	.771	37.0	26.3	3.5	5.5	1.3	0.7	2.1	9.5	19.4	49.0	2.6	6.5	40.2	4.6	5.3	87.6	1,293	920	124	192	46	24	75	85	+336
Kevin Love	39	30-9	.769	27.4	13.6	8.1	1.7	0.7	0.6	1.5	4.1	9.8	41.4	2.2	4.9	44.7	3.3	3.9	85.4	1,068	532	317	68	28	22	59	95	+221
LeBron James	144	110-34	.764	41.1	28.4	8.9	7.2	1.8	1.0	3.5	10.0	19.8	50.7	1.5	4.5	33.4	6.8	9.2	74.0	5,912	4,086	1,280	1,042	255	142	499	308	+1141
Harrison Barnes	38	28-10	.737	31.7	10.5	5.0	1.3	0.9	0.3	1.0	3.9	9.6	41.2	0.9	3.0	29.8	1.7	2.2	76.2	1,203	398	190	51	34	11	39	76	+186
Kevin Durant	87	64-23	.736	40.3	29.4	8.0	4.6	0.9	1.3	2.9	9.8	20.7	47.3	2.1	6.1	34.2	7.8	8.9	87.3	3,509	2,556	698	399	79	114	255	209	+729
P.J. Tucker	53	38-15	.717	30.8	7.2	5.6	1.6	1.0	0.4	0.6	2.6	5.9	44.4	1.6	3.9	42.4	0.4	0.6	55.9	1,634	384	297	86	54	21	32	157	+335
Jeff Green	53	38-15	.717	24.1	8.5	3.1	1.1	0.4	0.5	0.9	2.9	7.0	41.6	0.9	2.6	34.6	1.7	2.2	79.3	1,275	449	164	60	19	27	48	114	+115
Danny Green	88	63-25	.716	25.4	8.7	3.2	1.3	1.2	0.8	0.9	3.1	7.1	42.9	2.1	5.0	42.3	0.4	0.5	79.1	2,234	762	280	113	102	71	77	171	+573
James Harden	86	60-26	.698	35.6	22.3	5.5	6.4	1.7	0.7	3.4	6.5	16.0	40.9	2.6	7.8	33.4	6.7	7.7	86.8	3,064	1,920	473	550	144	57	295	252	+489
Cory Joseph	42	29-13	.690	15.3	5.5	1.6	2.0	0.5	0.1	0.7	2.2	4.7	47.4	0.3	1.0	32.6	0.7	0.9	79.5	644	231	69	82	22	3	29	50	+18
Kawhi Leonard	71	49-22	.690	34.8	21.3	7.5	2.9	1.8	0.7	1.8	7.7	14.7	52.1	1.7	4.4	39.4	4.3	5.1	83.7	2,471	1,515	531	203	130	50	128	137	+595
Tristan Thompson	45	31-14	.689	26.8	7.3	7.8	0.9	0.2	0.6	0.8	2.8	4.6	60.7	0.0	0.0		1.7	2.7	62.6	1,205	327	352	41	9	29	38	76	+177
Jrue Holiday	35	24-11	.686	37.4	17.1	5.3	6.9	1.6	0.4	2.5	6.5	15.6	41.7	1.9	5.7	32.3	2.3	2.9	79.2	1,308	599	187	243	55	15	88	66	+230
Nikola Jokic	37	25-12	.676	38.4	27.9	13.2	7.1	1.0	0.8	3.0	10.7	20.3	52.9	1.9	4.4	42.1	4.6	5.6	81.3	1,419	1,033	490	262	37	30	110	121	+179
Dennis Schroder	33	22-11	.667	24.6	12.4	2.3	3.6	0.9	0.1	1.7	4.5	10.2	43.5	1.2	3.6	33.1	2.3	2.7	84.3	813	408	77	119	31	4	55	69	+83
Chris Paul	77	51-26	.662	36.9	20.8	5.2	8.7	1.9	0.2	2.3	7.7	15.6	49.2	1.8	4.3	40.9	3.6	4.2	86.5	2,843	1,602	401	669	148	17	176	216	+422
Steven Adams	32	21-11	.656	25.4	6.8	6.5	1.0	0.4	0.8	1.0	2.6	4.5	58.7	0.0	0.1	0.0	1.6	2.7	59.3	812	219	209	31	13	27	32	87	+60
Patty Mills	46	30-16	.652	16.5	7.2	1.5	1.5	0.5	0.1	0.6	2.5	6.0	42.3	1.4	3.6	38.9	0.8	1.0	74.5	758	332	71	71	23	4	29	56	+99
Torrey Craig	40	26-14	.650	15.3	4.5	3.2	0.6	0.3	0.3	0.4	1.7	3.7	45.6	0.8	2.1	36.6	0.4	0.6	58.3	611	178	128	23	11	12	15	73	-2
Russell Westbrook	60	39-21	.650	37.0	25.1	7.6	7.9	1.8	0.3	3.8	8.8	20.5	42.8	1.5	4.3	34.4	6.1	7.1	85.4	2,221	1,504	456	474	108	17	230	165	+411