This doesn't mean that there will be sharp curves on the alignment. The map you see is only a bird's eye view of the alignment and is too zoomed out to show the actual small turns.
Look at the Hubli-Londa route in the same image. It is shown as a smooth line, whereas in reality the route is full of sharp turns. So, don't take this as an exact alignment of the tracks.
...
more...
Turns themselves are not the problem for high speed runs. There are many high speed routes with large turns and trunk routes like MAS-HWH, MAS-NDLS etc have a few places where the tracks curve around almost by 90 degress. But these are very wide curves and are properly canted so that trains can run on them at MPS. At a first glance, it appears that something similar will be done in this case too.
And most importantly, a small deviation of 5km to cover more places would always be preferred as railways need to optimize coverage and speed.