Slytherin was already in disgrace before Severus took over as Head of House because of its association with Voldemort and the DEs.
Canon is iffy about this. On the one hand we have Lily convinced Severus and his friends are itching to join You-Know-Who, on the other we have Arthur telling the kids that nobody knew whom to trust and whom not to and Sirius telling us that Bellatrix managed to talk her way out of Azkaban before attacking the Longbottoms and Lucius getting off with his Imperius plea. If it was so obvious Slytherins were in Voldemort's circle of influence why was it so hard to know whom to suspect? Why was there so little evidence against DEs? I don't think Slytherin House was in disgrace with the larger wizariding society until actual trials came along.
Canon is iffy about this. On the one hand we have Lily convinced Severus and his friends are itching to join You-Know-Who, on the other we have Arthur telling the kids that nobody knew whom to trust and whom not to and Sirius telling us that Bellatrix managed to talk her way out of Azkaban before attacking the Longbottoms and Lucius getting off with his Imperius plea. If it was so obvious Slytherins were in Voldemort's circle of influence why was it so hard to know whom to suspect? Why was there so little evidence against DEs? I don't think Slytherin House was in disgrace with the larger wizariding society until actual trials came along.