@RhinoInvestor , yes that's pretty much how I have been looking at things. More generally for industries that were significantly disrupted by the pandemic, I always try to do my analysis extrapolating from the last clean year, so 2018/19 for FY and 2019 for CY.
One consideration on looking at student Visas is that the pandemic disruption drives visa issuances in a way which is not necessarily related to incremental revenue for the industry. For example, let's say I am on a 2 year program and got a 2 year visa in 2019. But then perhaps I suspended my studies for a year and chose to stay at home. Well, my Visa expires and I have to apply for a new Visa, even though I can get a deferral for my college program. Because I had a visa and was underway with my program (which I was able to suspend) it doesn't necessarily drive any new placement revenue.
So, 2022 and 2023 saw a big market push for visas driven by 1) resumption of interrupted studies and 2) pent up demand of cohorts who would have wanted to study during 2020 and 2021, but deferred their studies.
So, looking at total permits (as you have done) is better than looking at visa issuance, which is what I have been tracking.
Even if my characterisation of the above dynamic is incorrect in the details, looking at this as an industry with long-term, structural growth, I do exactly what you've indicated which is to consider the long run trends. Canada reigning in visas in 2023/24 (backend) and 2024/25, still keeps them on a long term growth trend.
I think the government responses in Canada and Australia make perfect sense - the national infrastructure just can't cope with placing everyone who wants a place when they want, so some temporary visa rationing makes perfect sense from a political and economic perspective.
Which all brings me back to the same conclusion, that the short thesis makes sense if your time horizon is 1-2 years. And because of that, it presents an opportunity for the investor with the long term horizon, So, I'm still not done accumulating this one!
As for all the "noise" around fake students - I'm not sure the extent to which it impacts placement revenues for the industry. I guess if you want to get into the country enough, you might be prepared to pay for the service. What is good news is that any tightening up by governments is going to increase the value of services that can achieve higher success rates than the average, and again $IEL is a winner there.