Hey @peterrogov,
Good questions. WP Shopify does sync both the compare price and product variants. At the moment, the discounts are only synced as part of the order data — which in turn is only available in the Pro version.
I should also mention that while WP Shopify does sync this data, at the moment it doesn’t provide an easy to use API to access it. All of it is stored in custom tables so you could make manually queries to the database to get the data yourself, but an access API has been lower priority below getting some other things worked on at the moment.
Here are the custom table names where you can find the data:
wps_variants
wps_orders