Yes, there has been a rise in interest in Buddhism or the reason that you state. I do not see Hinduism growing in quite the same way. Can you give some examples of the appeal of Hinduism ?
Attempts to define "Hinduism" is unbelievably problematic since there are and have been so many different schools along with the encouragement of personalization. If I were to say "Hinduism teaches that...", almost no matter what one adds will be countered by some school and by individuals. For example, there have been non-theistic schools that do not posit any creator-god, although most do.
One set of related phrases that you might see, and you'll sometimes even see my post it, are "I am
That" or "We are
That", with the "
That" being a reference to Brahman (the name of God in the Hindi language). So, what you'll else sometimes read can be something like "Whatever is,
Is". The points with these approaches is the realization that all we perceive are essentially aspects and manifestations of Brahman and that the main hope for most Hindus is to tap into their "inner-God" that helps one recognize and appreciate the reality and allows them to eventually connect with Brahman through recognizing what we are, what makes us what we are (karma), and what's the best way for us to respond (dharma). It's really more of a pantheistic approach than with the Abrahamics, and it is very logical if one buys into the main foundation.
But, especially at the village level, there's typically the worship of one manifestation of Brahman, and it often goes family by family. Also, there are some Hindus, especially at the level, who are polytheistic.
I hope I answered your question, but I gotta go because company is coming soon.
Shalom and take care, my friend.