The Hyde act will matter. Hyde never negotiated this act with an intention of treating India as an ally and equal partner. This act tries to make India depend on the whims and moods of the US politicians. This act will be used to beat up India to force side with the US on foreign policy issues.
For most part, it is in India's interest to be on the side of the US, but India should not be subjugated. India should not become a client state like Pakistan.