Well, I think even 11 wins shows the continuing level of success that should be expected of Yokozuna in the face of going 13-13-12. The mediocre yokozuna we have now have never had that consistent of results, just spikes for one or two tournaments. Harumafuji is kinda close with his 15-15-9-15, but that 9 really sticks out there. Neither of them have ever even had 11 wins in 4 straight tournaments, even if you exclude basho they didn't enter or were injured early in. Kisenosato would show a remarkable level of consistency in his results not seen in the other non-Hakuho Yokozuna if he could get at least 11. If he wins 12 or more, that would be even more impressive. But still, the YDC is not going to recommend to promote someone without a Yusho, no matter how much they show themselves at the strength of other rikishi who were capable of going on the streaks necessary to meet the "two consecutive yusho-equivalent" criteria. It's just not going to happen, ever.
To be fair, most yokozuna drive their first basho in the ground... hakuho's 11-4 wasn't that great either. If Kise wins a yusho und gets the promotion, he almost certainly ruins his follow up. Although i wonder why that keeps happening...