Our HR was like this too! They were amazing. They sent a spreadsheet with each applicant in it, greyed out the ones who didn't follow instructions, and bolded the ones that they thought I should read first based on how close their applications were.
I read all of them, even the greyed out ones, until I'd read enough to trust that the HR team's filter was well-calibrated, and I also let the HR team know when they got it right/wrong so they could improve their filtering process.
Overall it worked great but I understand that such functional HR teams are the exception, not the rule.