How I deal with exceptions and how I'm /supposed/ to deal with them. Should I continue, or is it a bad practice?

spanish_inquisition.py

# Case One: How /it should be/ done:

class CloudStorageRaises(object):

    def upload_picture(file):
        
        try:
            url = self.storageApi.upload_from_file(file).generate_url()
            return url
        except Exception as e:
            logging.log(e.message)
            raise e

class MyAwesomeCodeCatches(object):
    
    storage = CloudStorageRaises()
    
    def someCode():
        
        try:
            url = self.storage.upload_picture(file)
        except:
            pass #  actually do something, but that's not important
        

# Case Two: How /I do it/:

class CloudStorageReturns(object):
    
    def upload_picture(file):
        
        try:
            url = self.storageApi.upload_from_file(file).generate_url()
            return url
        except Exception as e:
            logging.log(e.message)
            return None


class MyAwesomeCodeChecks(object):
    
    storage = CloudStorageReturns()
    
    def someCode():
        
        url = self.storage.upload_picture(file)
        if not url: pass #  actually do something, but that's not important