Here's some helpful copy-pasta from merriam webster, for "purportedly":
Synonyms & Near Synonyms for purportedly
allegedly, reportedly, reputedly
apparently, evidently, ostensibly, ostensively, presumably, putatively, seemingly, supposedly
externally, outwardly, visibly
believably, credibly
assumably, likely, presumedly, probably
conceivably, maybe, mayhap, perchance, perhaps, possibly, professedly, supposably
clearly, distinctly, manifestly, obviously, plainly, self-evidently
assuredly, positively, surely