Even with that, every uni does not subscribe to everything. You can still find important papers behind paywalls. In my uni we had pages-long emails for the lab

Even with that, every uni does not subscribe to everything. You can still find important papers behind paywalls. In my uni we had pages-long emails for the lab explaining the different procedures (at least 4, e.g. access with some other proxy, etc) to try to get access to an article before requesting it.