how often does a team win the nhl conference final when the series starts 1 -1

The Buffalo Sabres have 19 wins in conference finals when starting 1+ game all-time.

Interpreted as:

How often does a team win the NHL conference final when the series starts 1 or more -1?

	TEAM	Series W	GS	SERIES	GP	W	L	T	OTL	PTS	PTS%	SOW	SOL	G	GA	DIFF	S/GP	S%	SA/GP	SV%
1	Sabres	19	23	Conference Finals	23	10	13	0	0	155	8.304	0	0	59	64	-5	26.48	9.7	29.09	.904
2	Capitals	38	13	Conference Finals	13	8	5	0	0	98	11.692	0	0	36	25	11	31.69	8.7	26.38	.927
3	Red Wings	76	30	Conference Finals	30	18	12	0	0	235	11.433	0	0	90	58	32	30.83	9.7	26.23	.926
4	Stars	57	48	Conference Finals	48	21	27	0	0	279	8.313	0	0	104	124	-20	27.25	8.0	28.42	.909
5	Avalanche	38	30	Conference Finals	30	17	13	0	0	215	10.800	0	0	81	83	-2	29.60	9.1	31.37	.912
6	Maple Leafs	0	11	Conference Finals	11	3	8	0	0	60	5.182	0	0	22	29	-7	27.09	7.4	26.45	.900
7	Flyers	19	24	Conference Finals	24	11	13	0	0	154	8.708	0	0	60	63	-3	25.96	9.6	27.71	.905
8	Devils	76	25	Conference Finals	25	16	9	0	0	185	12.160	0	0	67	47	20	26.52	10.1	24.96	.925
9	Penguins	76	32	Conference Finals	32	17	15	0	0	237	10.094	0	0	87	77	10	32.22	8.4	27.72	.913
10	Blues	19	17	Conference Finals	17	7	10	0	0	120	7.824	0	0	47	48	-1	29.12	9.5	27.06	.896
11	Hurricanes	38	30	Conference Finals	30	9	21	0	0	165	5.733	0	0	62	85	-23	29.50	7.0	27.33	.896
12	Senators	19	19	Conference Finals	19	10	9	0	0	113	10.000	0	0	41	44	-3	28.63	7.5	28.63	.919
13	Ducks	38	28	Conference Finals	28	14	14	0	0	203	9.500	0	0	75	71	4	32.68	8.2	30.39	.917
14	Wild	0	4	Conference Finals	4	0	4	0	0	3	.000	0	0	1	9	-8	30.75	0.8	27.00	.917
15	Lightning	76	47	Conference Finals	47	25	22	0	0	360	10.149	0	0	132	125	7	30.09	9.3	30.47	.913
16	Flames	19	6	Conference Finals	6	4	2	0	0	39	12.667	0	0	16	11	5	28.33	9.4	25.00	.927
17	Sharks	19	27	Conference Finals	27	9	18	0	0	181	6.333	0	0	69	81	-12	29.48	8.7	28.15	.893
18	Oilers	57	20	Conference Finals	20	12	8	0	0	183	11.400	0	0	68	54	14	27.00	12.6	31.90	.915
19	Blackhawks	57	28	Conference Finals	28	16	12	0	0	228	10.893	0	0	84	82	2	31.07	9.7	33.54	.913
20	Canadiens	0	11	Conference Finals	11	3	8	0	0	61	5.182	0	0	22	35	-13	27.55	7.3	27.82	.886
21	Bruins	57	15	Conference Finals	15	12	3	0	0	132	15.200	0	0	50	26	24	28.73	11.6	31.67	.945
22	Canucks	19	5	Conference Finals	5	4	1	0	0	57	15.200	0	0	20	13	7	30.60	13.1	37.80	.931
23	Kings	38	17	Conference Finals	17	9	8	0	0	149	10.059	0	0	53	45	8	32.71	9.5	28.47	.907
24	Coyotes	0	5	Conference Finals	5	1	4	0	0	20	3.800	0	0	8	13	-5	26.40	6.1	40.40	.936
25	Rangers	19	31	Conference Finals	31	13	18	0	0	230	7.968	0	0	81	76	5	28.23	9.3	30.45	.919