Each nation follows secularism as defined by its needs.
Since in Hindu India, the religion was NEVER involved with he state, there was no need for any artificial separation. Which is why Indian secularism is equal respect for all religion, i.e. "Sarva Dharma sadbhav" which is the basic tenet of Hinduism. All path leads to god.
Nehru is a product of this thinking, the thinking is not Nehru's creation.
The India parliament debated this issue and accepted this version of secularism in line with our traditional values.
Gandhi believed in Sarva Dharma Sadbhav, which is respect for all faiths. OTOH Nehru, an agnostic the approach was to stay away from all religions. India rejected Nehru's idea of Secularism and adopted Gandhi's idea which was rooted in Hinduism.
Gandhi died before Jinnah, and yet India remained secular while pakistan become islamic. Its very premise was islamic land. "Pak" istan.
Your doubt is a reflection of your doubt on Hindu values. This is because you look at Hindu values and society from the prism of islamic values and islamic society. That is when it becomes subjective, and not objective.
Let us examine your examples one by one,
License raj was an continuation of the policies of British raj that choose to shackle Indian entrepreneurship.
Labour rights and Subsidies = Even the US have them. 8 hours working day, minimum wage etc. That is no marker for socialism.
Planned economy was due to communist Russian influence. It had more to do with channeling limited resources for transformational change, rather than any socialist ideals. Nehru was inspired by the progress USSR made with such plans.
So you can see that non of these were inspired by socialistic ideals.
Also congress sidelining of Narasimharao was more due to him sidelining sonia gandhi and due to the ghost of Babri masjid. It had nothing to do with his economic policy. In fact Rajiv gandhi did not believe in socialism and pushed hard to get Maruti into India.
You can look at the performance of PUS's under Modi when he was the CM of Gujarat which is more than 10 years.
He turned it around, rather than sell them. This is as objective as it gets.
Currently he is expanding the capacity of Railways, turning Air India profitable with no plans of selling them,
PSU stocks across key sectors — from infrastructure to energy to banks — are logging an impressive rise under the BJP.
State support for PSU's has only got stronger under the BJP, not weaker.
When you get rid of the prejudices, the Facts will speak for itself and then you get a clear picture.