Why do you think Buddhism was named Buddhism instead of Shaka Buddhism?
That's because Buddha is not the only Buddha. There were probably Buddhas in the past when Buddha was born, and Buddha's disciples were called Buddhas by people, and there will be Buddhas in the future, so they are called Buddhism rather than Buddhism because of the teachings of those Buddhas.
There are various denominations of Buddhism in various countries, and I think the founders learned aspects close to the Buddha, even if they were not far superior to those of the Buddha. Since both Saicho and Honen still have words quoted from the Agon Sutra, etc., I think the Agonkyo etc. were also well learned.
Currently, it is divided into many denominations, and if there is an element that plays a role in Buddhism, I think it is Buddhism.
By the way, why do you think Mahayana sutras such as the Hokke Sutra, Muryangjukyo, and the Amitabha Sutra were born even though the Agan Sutra already existed?
For example, according to one theory, the Lotus Sutra is said to have been created to correct the trajectory of the fact that Buddhism was divided into many sects at the time and was struggling to deviate from its original role. Primitive Buddhism, Theravada Buddhism, and Mahayana Buddhism can attain Buddhism if you follow each path correctly. There's no need to fight. It means that each of you should walk in Buddhism which is worth believing in.
Also, there are exceptions to everything, and people have always been unable to escape the suffering of obsession and worry, even with wonderful teachings. Those who wanted to give such people the power to live positively were created by monks who thought so, such as Muryoju-kyo Kyō and the Amida Sutra. The teaching is that even if you don't become a Buddha while you're alive in this world, let's live with peace of mind because it can be formed in the Pure Land of Paradise, and even if you are widowed from your loved one, you can meet in the Pure Land of Paradise, so look forward to that time and live positively.
There were people who needed that kind of teaching. That's why this teaching was born.
What is the purpose of Buddha's teachings such as the Akan Sutra? Becoming a Buddha? enlightenment? That's an abstract answer. Specifically, it is about people living a cheerful, correct, and healthy life until the end. Buddhism is the teaching that fits that purpose, and if Mahayana Buddhism fits that purpose, I think it is Buddhism, even if it is limited to a small percentage of people.
Incidentally, I also love reading Agonkyo. When you read this, you can feel the Buddha's humanity and personality.