Boosting busts more seeds in bigger tourneys

Instead of four teams, now there are $2^6$, or $64,$ seeded from $1$ through $64$. The power index of each team is equal to $65$ minus that team’s seed.

The teams play in a traditional seeded tournament format. That is, in the first round, the sum of opponents’ seeds is $2^6+1,$ or $65.$ If the stronger team always advances, then the sum of opponents’ seeds in the second round is $2^5+1$, or $33$, and so on.

Once again, the underdog in every match gets a power index boost $B$, where $B$ is some positive non-integer. Depending on the value of $B,$ different teams will win the tournament. Of the $64$ teams, how many can never win, regardless of the value of $B$?

After setting up the $64$ team bracket, we can choose various values for $B$ and then compute the winners directly. Since the outcome will remain the same for all non-integer values in $(\lfloor B \rfloor, \lceil B \rceil)$, we need only select a total of $64$ values, e.g., $b+0.5,$ for $b = 0, 1, \dots, 63.$ The summary of the outcomes of the $64$ team tournament bracket are in the table below. We note that there are $27$ seeds (namely, $7$, $13$-$15$, and $25$-$47$) who never win the tournament. Most unlucky out of each of them are $7$, $15$ and $47$, each of which have sets of $B$ of measure $3$ for which they will end up the runner up of the tournament, though they will never win it.

$B$	Winning Seed	Runner Up
(0,1)	1	2
(1,2)	1	3
(2,3)	3	1
(3,4)	2	1
(4,5)	6	5
(5,6)	5	3
(6,7)	5	3
(7,8)	4	3
(8,9)	12	11
(9,10)	11	9
(10,11)	11	9
(11,12)	10	9
(12,13)	10	9
(13,14)	9	7
(14,15)	9	7
(15,16)	8	7
(16,17)	24	23
(17,18)	23	21
(18,19)	23	21
(19,20)	22	21
(20,21)	22	21
(21,22)	21	19
(22,23)	21	19
(23,24)	20	19
(24,25)	20	19
(25,26)	19	17
(26,27)	19	17
(27,28)	18	17
(28,29)	18	17
(29,30)	17	15
(30,31)	17	15
(31,32)	16	15
(32,33)	48	47
(33,34)	49	47
(34,35)	49	47
(35,36)	50	49
(36,37)	50	49
(37,38)	51	49
(38,39)	51	49
(39,40)	52	51
(40,41)	52	51
(41,42)	53	51
(42,43)	53	51
(43,44)	54	53
(44,45)	54	53
(45,46)	55	53
(46,47)	55	53
(47,48)	56	55
(48,49)	56	55
(49,50)	57	55
(50,51)	57	55
(51,52)	58	57
(52,53)	58	57
(53,54)	59	57
(54,55)	59	57
(55,56)	60	59
(56,57)	60	59
(57,58)	61	59
(58,59)	61	59
(59,60)	62	61
(60,61)	62	61
(61,62)	63	61
(62,63)	63	61
$\gt 63$	64	63