My under house sump pump was loud for a few reasons. The drain pipe was strapped tight to the under side of the floor joists. It should hang in a saddle. The drain pipe also had no air gap or vent. Lastly, it was installed under a bedroom so I had to build an insulated box around the pump it self.
if that is the means to keeping your basement dry then i would just replace it. if the old pump is acting abnormal at all, a flooded basement isn’t worth the risk when just replacing the pump is fairly cheap and easy.
I am not sure how old the pump is. it makes the noise when the pump is about to shut off
It’s hard to tell from the video.
Start simple first. Inspect the check valve, could have a solid stuck or a defective flapper. Then check the pumps impeller for something stuck there.