What the Buddha said and encouraged may not be totally clear from reading the texts based on oral traditions that were eventually written down. Perhaps they were all recommended by the Buddha at one time or another and the ones that were most comfortable in a particular Buddhist tradition became emphasized over time.
Why not say Buddha encouraged Zen? Some Zen practitioners say Buddha was the first Zen master from the text of the Flower sermon.
the Chan tradition may have invented or written down the flower sermon.
The Chan tradition ascribes the origins of Chan in India to the Flower
Sermon, the earliest source for which comes from the 14th century.
It is said that Gautama Buddha gathered his disciples one day for a
Dharma talk. When they gathered together, the Buddha was completely
silent and some speculated that perhaps the Buddha was tired or ill.
The Buddha silently held up and twirled a flower and his eyes
twinkled; several of his disciples tried to interpret what this meant,
though none of them were correct. One of the Buddha's disciples,
Mahākāśyapa, silently gazed at the flower and broke into a broad
smile. The Buddha then acknowledged Mahākāśyapa's insight by saying
I possess the true Dharma eye, the marvelous mind of Nirvāṇa, the true
form of the formless, the subtle Dharma gate that does not rest on
words or letters but is a special transmission outside of the
scriptures. This I entrust to Mahākāśyapa.
The diversity of examples seems to be coincidentally an advocacy for the particular tradition that promotes a certain quality or story. It is perhaps no surprise that human consciousness would lend an interpretation that is more appealing and easier to live with. If such are the traditions, perhaps our best hope for liberation is to follow the example of the Buddha and live our lives to the greatest extent possible serving others as best we are suited.