I personally agree with your view, which seems more balanced and healthy. I have not looked into Tendai Buddhism, which is not widely propagated and has no sangha that I know of at least in my local neighborhood.
But according to my source, the LS is self-praising, and the idea of the LS is superior to all other Buddhist teachings actually originated from the LS itself. If you tried reading the LS you would come across only a few passages actually elucidating the truth as Nichiren says.
The Blessings of the Lotus Sutra | WND I | Nichiren Buddhism Library
"And the more one praises the blessings of the Lotus Sutra, the more one’s own blessings will increase. Bear in mind that the twenty-eight chapters of the Lotus Sutra contain only a few passages elucidating the truth, but a great many words of praise."
The Lotus Sutra[10] - The Teacher of the Law
"If for the space of a kalpa
one should constantly harbor a mind destitute of good
and with angry looks should revile the Buddha,
he will be committing an offense of immeasurable gravity.
But if toward those who read, recite and embrace
this Lotus Sutra
one should even for a moment direct evil words,
his offense will be even greater.
If there is someone who seeks the Buddha way
and during a certain kalpa
presses palms together in my presence
and recites numberless verses of praise,
because of these praises of the Buddha
he will gain immeasurable blessings.
And if one lauds and extols those who uphold this sutra,
his good fortune will be even greater.
For the space of eighty million kalpas,
with the most wonderful shapes and sounds,
with that which is pleasing to smell, taste and touch,
offer alms to the upholders of this sutra!
If you have offered alms in this manner
and have heard the teachings for even a moment,
then you will experience joy and good fortune,
saying, "I have gained great benefit!"
Medicine King, now I say to you,
I have preached various sutras,
and among those sutras
the Lotus is foremost!"
"The way of the bodhisattva is the same as this. As long as a person has not yet heard. Not yet understood. And not yet been able to practice this Lotus Sutra, then you should know that person is still far away from anuttara-samyak-sambodhi. Why? Because all bodhisattvas who attain anuttara-samyak-sambodhi in all cases do so through this sutra. This sutra opens the gate of expedient means and shows the form of true reality. This storehouse of the Lotus Sutra is hidden deep and far away where no person can reach it. But the Buddha, teaching, converting and leading to success the bodhisattvas, opens it up for them."