Not much in the way of concrete evidence for anything you're asking, IMO - just opinion. I doubt Access is on its way out any time soon and think that those statements are mostly made by those who see it as inferior to any version of C or .Net. Add to that list the IT people who for the most part, dislike Access. It's my experience that the reason for that is because they don't understand it much, don't have the interest in learning it yet they are stuck with helping others muddle through with it.
To that I'd add that no application with a real serious need for security will be built on Access, but that doesn't mean there would be no work for you anywhere. Just don't expect to sell an Access based app for (perhaps) medical records or the local court house. Figure on buying a license for an installer and dealing with the files and registry tweaks for customers to install your apps. One nice thing about VB (not VBA), C and .Net apps is that they can be made into executables whereas Access cannot. It's a security hole for Access, and while you can plug most of them to a great degree, Access will never be 100% secure because of that.
Lastly, one shortcoming of Access is that support for web based db's is no longer as it never played very well with them, and it's not something you want to use over wifi. I've only ever used one db app that was full blown browser based but I can see how they might be more popular. As long as you have a connection, you're in from anywhere.
The more we hear silence, the more we begin to think about our value in this universe.
Paraphrase of Professor Brian Cox.