I don't have a problem either with him staying. But I think he'll go anyway. And it's better for him probably. Needs to kick-start his career somewhere.
That said, we'll literally have no reliable first choice midfielders next season. Milner and Ox, gone. Jones not good enough, should go on loan or be sold. Henderson will take Milner's role. Fabinho at best is 2nd choice for the 6 position, at worst should be sold. And Thiago is injury prone and aging as well.
If Bajcetic turns out to be as mature as a Pedri/Gavi then we need to buy 2 starting midfielders. If not, 3. If Keita stays, those numbers can be reduced to 2 and 1 which is more realistic.