Here's a question that was recently emailed to me:
I'm assuming he was reading my blog posts on backdrafting water heaters. I wrote two on this topic a little over a year ago; the first post, titled Water Heater Backdrafting: Why it matters and what to look for, explained what this is all about and how to find signs of a problem. The second post on this topic was titled Water Heater Backdrafting: Why it's happening and how to fix it; pretty self explanatory.
The deformed / melted grommets that were mentioned in his question are the pieces of plastic shown in the photo below.

Note how the melting only occurs on the sides that face the draft hood; this is a dead giveaway that the melting was caused by the water heater backdrafting.
If this is what the home inspector saw, he'd be right to say there were signs of previous backdrafting, but not that the water heater backdrafts. We don't say a water heater backdrafts if we can't see it backdraft. A great way for a home inspector to get visual evidence of a water heater backdrafting is to hold their camera close enough to the draft hood to get their camera lens to fog over. The photo will look like this:

When a home inspector finds signs of previous backdrafting, they can recommend having a second person come out to inspect the situation further, or they can inspect the situation further themselves and make a call based on their professional experience, assuming they're qualified.
If a second person is called in to inspect the situation further, it will almost surely be a plumber or an HVAC contractor. Some of them will be qualified to do this inspection and some won't. If the person coming out to inspect the water heater draft is qualified, they will create a worst-case scenario to test the water heater draft. If you really want to be sure that whoever is coming out to inspect the draft at the water heater is qualified, hire someone who is familiar with BPI's Combustion Safety Test Procedure For Vented Appliances.
As far as I'm concerned, BPI's standards are good, but they're not perfect. To establish a worst-case scenario, BPI standards say to turn on all of the exhaust fans, but what happens if the home has an attic / roof fan? Those fans are (almost) exclusively installed in homes with horrible attic air leaks, and as such, they can cause major depressurization of homes. This isn't new info; check out this article from 1995 explaining the danger of these fans: The Dangers of Powered Attic Ventilators. If you're really going to create a worst-case scenario test for water heater draft, if there's an attic fan present, you better turn it on.