I think the reason why some people say that digital is cheap, or even free, is because they have either forgotten about, or otherwise put out of their mind, the high cost of acquiring the digital camera (and probably at least one lens to go with it) in the first place and the costs of any of the computers and software needed to produce images from the digital files, as well as the cost of a printer to produce hardcopies of their images. So to these people, the only real expense is the memory cards their cameras use. But that is false economics, isn't it.
Whereas with film, these same folks see the cost of the film itself and the expense of having it developed and prints made (if any) as a continuing expense that will never end as long as one continues to shoot with film. So to them, shooting with film is far from free. But if they were to bother and factor in the real costs associated with their digital photography, they would have to arrive at a different conclusion. Digital may end up being cheaper in the long run. But perhaps not initially.
Cost of a top quality digital camera with one or two good lenses: $4000 US. Cost of software and computer to run it. Depends on whether it's a PC or a Mac, but easily $2000 US. So we're looking at a realistic cost of $6000 US to get started with a premium quality digital camera.
Cost of a top quality film camera (Nikon F6 with USA Warranty): $2500. Let's also add in at least one good lens, say another $1000 US. Cost of, let's say a year's worth of film -- say 100 rolls of what? How about Portra 400. $820/100 rolls. Cost of developing, figure $10/roll: $1000. So film's total for at least one year's worth of photography: $5320.
So at least $6000 US for digital compared to $5320 for film. The numbers are getting close enough to each other that one might call it a wash. That is, they are not significantly different enough from each other that a conclusion can be drawn in favor of one or another. Even though there is a $680 difference, this can easily be accounted for with the addition of another lens, or the purchase of a faster computer and/or more software, and/or a printer. And the film user may wish to buy a scanner to digitize the images, which means the film user must also have access to a PC or Mac. So it's a wash.
In other words, choose which you prefer, and go and have fun with whichever choice you've made. And let the poindexter types argue over the definition of 'photograph' while you're out there having fun making a whole slew of them, no matter what the definition may be.