It is however, the class of outcome I think should definitely be considered plausible, and possible.
But that also admits the plausibility of Phoecians, Romans, reaching the Americas. Could have, but didn't to the best of our knowledge.
Because of a culture of glass and metalworking, they're both outcomes we could expect to "prove" by archeological finds. Coastal locations to 100km inland might withstand the timescale, and yield something, but its needle in a haystack time, and the vikings didn't leave very much behind. (a counter example we have higher confidence in, which yields very little structural evidence)
I do think pacific/island stone tools would stand the same test, but I can't see how an "edge" to antarctica would sustain preservation of worked tools. If you found them in the continental offshore ooze, that would be amazing. (or for that matter, roman artifacts offshore of the americas)
It's fantasy science, but then think about "doggerland" and what is being found in shallow waters between the UK and continental Europe.
Maybe when we start manganese nodule mining by robot, we're going to turn up the equivalent of roman coke tins, phoecian pencil stubs and Islander burger-wraps?