Objective evidence need not mean only measurable through physical instruments. Even experiences that are similar among various people across the globe and which lead to similar conclusions, can be regarded as objective. Experiences that can be replicated using standard methods that can be taught to others, are also objective.
Though I don't have any expertise on western philosophies....most western metaphysical philosophies are largely seen as intellectual exercises and attempts to reduce metaphysical matters to a rational framework. They rarely if at all involve personal exercises and experiences. That is why most of them are dry and tedious texts relegated to library bookshelves.
On the other hand, the philosophies such as Samkhya, Yoga, Jainism and Buddhism (also western ones such as Kabbala and sufism) are 'living' philosophies that are integrated with religious teachings and inspire millions of people everyday. The Bhagavad Gita for example, is largely a philosophical text in the guise of a religious scriptural discourse. It is one of the most popular religious text among Hindus in spite of being a metaphysical text dealing with ontology.
I'm going to assume that by 'experiences' you mean mystical experiences. Hood's 32 point 'M' Scale does indeed seem to show that mystical experiences of, for instance, American Christians, Buddhists and Iranian Muslims are more alike than different. Historically,also, such experiences are described from as wide a variety of sources as the Upanishads, Plotinus and Meister Eckhart.
Where I disagree with you is that such experiences lead to similar conclusions. They seem to be interpreted in a variety of different ways usually in keeping with the cultural progression of a person's particular grouping. Hence, Buddhists tend to recognize the Buddha mind as ultimate reality, Vedantists recognize Brahmin as ultimate reality, Christians recognize Jesus as Ultimate reality and Muslims recognize Allah as ultimate reality.
Now this is where I come back to my original point as regards explanation which I attempted to make in reply 56, when I said:
Explanation, on the other hand, demands checks and balances to enable it to be the best possible explanation, and, for it to have substance, this should be, as far as possible, least coloured by the proponent's subjective views. Science method, as regards reality, scores heavily, as there seems to be no comparable current discipline which seeks to produce information in as objective a way as possible.
I quite accept that personal exercises, disciplines and meditative methods may well recreate such mystical experiences, but what they do not do is explain them. All you seem to have is your personal interpretation, which is fair enough, but remember so do very many other people who may well interpret them very differently.
So, finally, my take on such experiences is that the universality of same, and the fact that they can be replicated and taught to others emphasises that they are a part of the human condition but says nothing objectively about why they occur.