has any team ever lost three game 1s and won all three series

The Chicago Stags came up short 5 times in game ones when winning 3+ games all-time.

Interpreted as:

Has any team ever lost three or more game 1s and won all three or more series?

	TEAM	L	W	GP	MPG	PPG	RPG	APG	SPG	BPG	FGM	FGA	FG%	3PM	3PA	3P%	FTM	FTA	FT%	TS%	OREB	DREB	TPG	MIN	PTS	REB	AST	STL	BLK	TOV	PF
1	Stags	5	3	8	240.0	74.1					27.4						19.4	29.0	66.8					1,920	593						220
2	Knicks	45	44	89	242.2	96.3					36.6			5.6	14.9	37.3	20.1	27.1	74.3					21,560	8,569
3	Warriors	35	44	79	241.9	105.3	50.9		9.2	6.1	40.4			10.5	27.8	37.9	19.1	26.3	72.6					19,110	8,318	3,667		441	291		1,885
4	Celtics	47	92	139	241.4	107.1					41.0			6.4	17.7	36.1	21.2	27.3	77.9					33,560	14,893						3,252
5	Kings	27	18	45	241.1	96.6			8.2	4.1	36.0			4.9	13.4	36.3	22.4	29.6	75.7				16.3	10,850	4,349			189	95	376	1,079
6	Lakers	58	106	164	240.8	103.7			8.3	6.3	39.5			4.3	12.8	33.6	22.2	30.0	74.1					39,485	17,008			862	659		3,864
7	Pistons	43	38	81	240.0	94.2					35.8			4.2	11.7	35.4	19.9	27.0	73.7					19,440	7,631						1,897
8	Hawks	42	36	78	240.6	101.8					38.1			5.5	17.1	32.2	22.5	30.4	73.8					18,770	7,941						1,880
9	76ers	50	51	101	242.0	103.5					38.8			4.0	11.7	34.0	23.8	32.2	74.0					24,440	10,456						2,521
10	Wizards	29	17	46	242.7	100.0	47.2	19.8			39.2	88.8	44.1	4.9	14.4	33.8	19.3	26.3	73.5	49.8				11,165	4,598	2,169	912				1,075
11	Bulls	29	40	69	242.2	97.4	43.8	22.5			37.7	84.1	44.9	4.4	13.1	33.6	18.2	23.9	76.3	51.5				16,710	6,720	3,023	1,553				1,565
12	Rockets	33	30	63	241.2	102.3	43.0	22.8		5.7	38.9	84.8	45.9	6.7	19.5	34.2	18.4	24.9	73.9	53.4				15,195	6,443	2,709	1,434		351		1,399
13	Bucks	37	24	61	241.6	102.0	44.2	22.8			39.9	87.3	45.7	5.6	18.2	30.5	18.0	24.7	72.7	52.0				14,740	6,225	2,698	1,389				1,411
14	Suns	31	33	64	241.2	105.5	42.5	24.2	7.9	5.0	41.0	87.0	47.1	5.4	15.5	34.8	18.9	24.3	77.5	54.0			14.5	15,435	6,753	2,721	1,549	495	317	914	1,405
15	Clippers	14	13	27	240.9	105.9	41.6	22.2			40.0	83.9	47.7	9.8	24.8	39.6	17.4	23.8	73.2	56.1				6,505	2,858	1,122	599				608
16	Thunder	31	38	69	240.7	103.3	43.9	22.0	8.2	5.2	38.8	84.5	46.0	6.1	16.8	36.2	20.5	26.7	76.7	53.7			14.0	16,610	7,127	3,032	1,519	568	362	966	1,587
17	Cavaliers	29	22	51	241.5	98.1	42.1	21.1	7.1	4.6	37.1	83.3	44.5	6.8	21.1	32.3	17.7	23.8	74.4	52.3				12,315	5,004	2,149	1,076	360	234		985
18	Spurs	31	48	79	241.6	100.9	42.2	22.2	7.8	5.5	38.7	82.1	47.1	5.3	14.0	38.2	18.5	25.7	72.1	54.0				19,085	7,973	3,335	1,754	618	437		1,701
19	Trail Blazers	37	21	58	241.7	101.4	43.3	22.0	7.5	4.6	38.1	84.4	45.1	4.9	14.6	33.6	20.8	27.7	75.2	52.5	13.1	30.3		14,020	5,880	2,513	1,278	434	268		1,418
20	Nuggets	25	24	49	241.0	110.5	43.1	24.7	8.1	4.9	42.4	88.8	47.7	6.6	18.6	35.2	19.8	25.9	76.2	55.1	12.2	30.9		11,810	5,415	2,113	1,210	395	241		1,126
21	Nets	21	15	36	240.7	98.0	42.1	21.2	7.5	4.5	37.1	83.1	44.7	5.0	16.5	30.6	18.9	25.1	75.1	52.1	11.7	30.4	13.4	8,665	3,528	1,514	762	271	161	482	853
22	Pacers	27	26	53	241.4	98.4	40.9	21.5	7.3	4.9	35.5	79.2	44.8	6.8	17.8	38.5	20.5	26.4	77.6	54.2			14.0	12,795	5,213	2,170	1,142	386	262	744	1,256
23	Jazz	29	27	56	240.9	99.4	42.9	23.7	7.4	5.1	37.6	81.0	46.4	4.3	13.0	33.1	19.9	26.2	76.0	53.7	12.1	30.8	14.6	13,490	5,568	2,401	1,327	417	285	819	1,329
24	Mavericks	29	17	46	241.1	100.5	42.2	18.7	6.8	5.1	36.6	83.0	44.1	6.2	18.8	33.3	21.0	26.5	79.2	53.1	12.2	30.0	13.2	11,090	4,622	1,940	858	311	236	606	1,000
25	Heat	25	31	56	241.8	96.9	40.0	19.5	7.2	4.9	35.9	78.3	45.8	8.4	23.4	36.2	16.7	22.7	73.4	54.9	9.3	30.7	13.1	13,540	5,424	2,238	1,094	404	273	732	1,178