Well, this goes to the problem of the English language using the word "inflation" for two very different things: 1) the increase in price of good(s) over time (including due to supply and demand), and 2) the reduction in purchasing power of the currency.
Subbing the proper definition into your sentence we get: "Now that we've actually had a **** ton of increase in price due to supply and demand, I'm not inclined to believe predictions that we did not have a reduction in purchasing power of the currency. "
This isn't entirely right, as there are many factors at play and we can't say we had no reduction in purchasing power of the currency. Bit it's obvious that those saying price changes were due to events affecting supply and demand, not policy, were right. That those events being more pernicious and far reaching in effect than anticipated does not change that events were the driver.