I think it's famously difficult to identity the Buddha; for example, in the Sariputta-Kotthita Sutta
Now, what more do you want, friend Kotthita? When a monk has been freed from the classification of craving, there exists no cycle for describing him.
Aggi-Vacchagotta Sutta,
Even so, Vaccha, any physical form by which one describing the Tathagata would describe him: That the Tathagata has abandoned, its root destroyed, made like a palmyra stump, deprived of the conditions of development, not destined for future arising. Freed from the classification of form, Vaccha, the Tathagata is deep, boundless, hard to fathom, like the sea. 'Reappears' doesn't apply. 'Does not reappear' doesn't apply. 'Both does & does not reappear' doesn't apply. 'Neither reappears nor does not reappear' doesn't apply.
"Any feeling... Any perception... Any fabrication...
"Any consciousness by which one describing the Tathagata would describe him: That the Tathagata has abandoned, its root destroyed, made like a palmyra stump, deprived of the conditions of development, not destined for future arising. Freed from the classification of consciousness, Vaccha, the Tathagata is deep, boundless, hard to fathom, like the sea. 'Reappears' doesn't apply. 'Does not reappear' doesn't apply. 'Both does & does not reappear' doesn't apply. 'Neither reappears nor does not reappear' doesn't apply.
That being so I don't see how it's possible to compare two Buddhas, to ask whether they're the same or different.
Asking the question might presume some Identity view (sakkāya-diṭṭhi), which the Buddha denied.
Apparently there's a Trikaya and Dharmakāya doctrine. I don't know, maybe you might want to say that all Buddhas are of the same Dharmakāya -- perhaps analagous to saying that there's no such thing as two different nirvanas. But Dhammakaya is not especially a Theravāda doctrine (except see also the 'Dhammakaya Movement of Thailand').