I watched this video of his but I couldn't quite understand what he was saying (or what his conclusion was) on wether Shudras can enter Hindu temples, thus what is his conclusion on this matter?
This Shankaracharya has unusual views on caste
he says that British Raj had divine elements by adhering to Manusmriti !!
BG 18.45: By fulfilling their duties, born of their innate qualities, human beings can attain perfection. Now hear from Me how one can become perfect by discharging one’s prescribed duties.
This Shankarachrya says Sanatana Dharma restricts what can be done based on caste etc. but does not deprive anybody of the fruits of what DOES get done.
He says as a Sanyasi he cannot touch fire and so cannot cook - but others make the food for him. He is prohibited from cooking, but NOT from eating. In other words, ALL Hindus are subject to restrictions that do not deprive them of the fruit of their allowed actions.
So denying temple entry to Sudras according to him is not wrong - If they worship the deity from outside the temple, then they would get the benefit.