I think Satya was not trying to push his romantic feelings under the garb of dosti. Sai is already under great stress and he can't convey his feelings straight away and make things messier. His dosti card is more to make her comfortable rather than for misusing it. Had he listened to her being uncomfortable with his minimum touch, he wouldn't have brought the saree itself is what I think.
If Satya is unable to see Sai is uncomfortable, Sai is unable to see Satya is enamored by her. It's written all over his face.
Okay this could be true too.