This probably won't be a popular answer, but I use a shotgun for spring turkey season because it is legal and offers the best odds ofquickly killing a turkey. Not saying a crossbow and archery are not ethical, and in the fall archery only portion of our season I wouldn't hestiate to hunt themwith the crossbow.
I believe we owe it to the game we hunt to strive for a quick, clean, humane kill (ethical) and should use the legal method that offers the highest percentage oddsof producing those results. A personal decision, but for me the shotgun offers the highest percentage odds of the available legal methods of harvesting a springturkey.