It’s like asking ‘Is the Tathagatha without feeling?’ The answer is no.
So if feeling is a burden the Tathagatha is with the burden in as far as we are speaking about a Tathagatha.
This doesn’t mean that Tathagatha can be pinned down as a truth & reality.
“What do you think, Anuradha: Do you regard form as the Tathagata?”
“No, lord.”
“Do you regard feeling as the Tathagata?”
“No, lord.”
“Do you regard perception as the Tathagata?”
“No, lord.”
“Do you regard fabrications as the Tathagata?”
“No, lord.”
“Do you regard consciousness as the Tathagata?”
“No, lord.”
“What do you think, Anuradha: Do you regard the Tathagata as being in form?.. Elsewhere than form?.. In feeling?.. Elsewhere than feeling?.. In perception?.. Elsewhere than perception?.. In fabrications?.. Elsewhere than fabrications?.. In consciousness?.. Elsewhere than consciousness?”
“No, lord.”
“What do you think: Do you regard the Tathagata as form-feeling-perception-fabrications-consciousness?”
“No, lord.”
“Do you regard the Tathagata as that which is without form, without feeling, without perception, without fabrications, without consciousness?”
“No, lord.”
“And so, Anuradha — when you can’t pin down the Tathagata as a truth or reality even in the present life — is it proper for you to declare, ‘Friends, the Tathagata — the supreme man, the superlative man, attainer of the superlative attainment — being described, is described otherwise than with these four positions: The Tathagata exists after death, does not exist after death, both does & does not exist after death, neither exists nor does not exist after death’?”
“No, lord.”
My advice is to consider whether things like ‘consciousness’, ‘feeling’, ‘reasoning’, ‘fabrications’, can be pinned down as a truth & reality and what would be the epistemological basis for this.
One could then compare how it fares in comparison to a word like ‘a person’.