Ven. Yamaka expressed a similar type of view i.e. speculating whether the Buddha exists or doesn't exist or both exists and doesn't exist, or neither exists nor doesn't exist.
The sutta below clearly explains how it should be, according to the teachings found in the Early Buddhist Texts (the Theravada suttas and Mahayana agamas).
The question is not whether the journey continues or not. In reality, there was never a journey or a being or a person in the first place that's concrete and standalone.
All that was, is suffering that came to an end after Nirvana.
Then, in the evening, the Venerable Sāriputta emerged from seclusion.
He approached the Venerable Yamaka and exchanged greetings with him,
after which he sat down to one side and said to him: “Is it true,
friend Yamaka, that such a pernicious view as this has arisen in you:
‘As I understand the Dhamma taught by the Blessed One, a bhikkhu whose
taints are destroyed is annihilated and perishes with the breakup of
the body and does not exist after death’?”
“Exactly so, friend.”
“What do you think, friend Yamaka, is form permanent or
impermanent?”—“Impermanent, friend.”…—“Therefore … Seeing thus … He
understands: ‘… there is no more for this state of being.’
“What do you think, friend Yamaka, do you regard form as the
Tathagata?”—“No, friend.”—“Do you regard feeling … perception …
volitional formations … consciousness as the Tathagata?”—“No, friend.”
“What do you think, friend Yamaka, do you regard the Tathagata as in
form?”—“No, friend.”—“Do you regard the Tathagata as apart from
form?”—“No, friend.”—“Do you regard the Tathagata as in feeling? As
apart from feeling? As in perception? As apart from perception? As in
volitional formations? As apart from volitional formations? As in
consciousness? As apart from consciousness?”—“No, friend.”
“What do you think, friend Yamaka, do you regard form, feeling,
perception, volitional formations, and consciousness taken together as
the Tathagata?”—“No, friend.”
“What do you think, friend Yamaka, do you regard the Tathagata as one
who is without form, without feeling, without perception, without
volitional formations, without consciousness?”—“No, friend.”
“But, friend, when the Tathagata is not apprehended by you as real and
actual here in this very life, is it fitting for you to declare: ‘As I
understand the Dhamma taught by the Blessed One, a bhikkhu whose
taints are destroyed is annihilated and perishes with the breakup of
the body and does not exist after death’?”
“Formerly, friend Sāriputta, when I was ignorant, I did hold that
pernicious view, but now that I have heard this Dhamma teaching of the
Venerable Sāriputta I have abandoned that pernicious view and have
made the breakthrough to the Dhamma.”
“If, friend Yamaka, they were to ask you: ‘Friend Yamaka, when a
bhikkhu is an arahant, one whose taints are destroyed, what happens to
him with the breakup of the body, after death?’—being asked thus, what
would you answer?”
“If they were to ask me this, friend, I would answer thus: ‘Friends,
form is impermanent; what is impermanent is suffering; what is
suffering has ceased and passed away. Feeling … Perception …
Volitional formations … Consciousness is impermanent; what is
impermanent is suffering; what is suffering has ceased and passed
away.’ Being asked thus, friend, I would answer in such a way.”
SN 22.85