Money is an inescapable reality for every service in society. But most clinics are busy, and so there isn't a real incentive to try to slow walk clients. Which would be radically corrupt on a number of levels. Even if some backroom financial functionary in a clinic were to have that thought on occasion. I've never heard it verbalized nor seen any evidence of it trickling down from management.
Moreover, most (but not all) clients will be perpetually slightly behind if they start behind. Even if they catch up at a faster rate, with the help of services. Thereby justifying services if the family wants them. But that's not the same as clinic level corruption. It's just a fact of cognitive development. But there's no better advertisement for a clinic or clinician than graduating a client.
Although I can't speak to reading in the following regard, I agree that there are sometimes lesser supported therapy methods for some delays. This is where the art of picking one's therapist is important, as they differ and what they use is within their discretion. As is the case across the rehab field.
Yes
That is a problem
Whether that takes the shape of money or some different shape, it remains the case that "free benefit" cannot exist, and that any beneficial system requires some kind of give to supplement the take that it offers.
Finding a way to establish that with balance is the challenge.