"historically existed" is correct and usable in written English.
You can use it when referring to something that has existed for a long period of time. For example, "The practice of medicine has historically existed for centuries."
Norway has historically existed in the shadows of Sweden and Denmark.
For the Mets' network, having Time Warner and Comcast as partners will eliminate some of the contentiousness that has historically existed between regional sports channels and cable operators.
Tension has historically existed between the president, who has the top volunteer job, and the chief executive, who is the top paid staff member, for control of the committee.
Just as bitter bureaucratic tensions have historically existed between the F.B.I. and the C.I.A. within the United States intelligence community, it is possible that turf battles between the G.R.U. and the K.G.B. could have made it more difficult for Moscow to identify Mr. Hanssen as its spy.
A counterintuitive but undeniable result of Mr. Ferneyhough's approach, with an immense wealth of detail cascading on a player, is in fact to restore and reinvigorate the balance that historically existed between music as a theoretical set of instructions and music as a living, unrepeatable entity.
That abstraction layer, even though it adds a "bump in the wire," improves uptime and performance because it breaks the 1 1 tie that has historically existed between apps and databases.
"The church says he more than likely did not historically exist," Father Weinandy said.
But because humans live long and reproduce slowly, and historically have existed in small numbers, their genomes have not been under competitive pressure to streamline themselves to Swiss-watch efficiency.
Historically hotels existed as trade routes used for business and then with advances in travel they became a necessity for said travelers.
Historically, cities exist in a state of flux, organisms in constant state of gentrification and denigration.
Virtually all modern scholars of antiquity agree that Jesus existed historically, although the quest for the historical Jesus has produced little agreement on the historical reliability of the Gospels and on how closely the biblical Jesus reflects the historical Jesus.
