Yes it is quite period. Read up on the Ottoman assault on Malta. The Knights of St. John used grenades (and a lot more stuff thrown from the battlements) to fend off the Turks for three months. 700 knights won over some 30,000 turks with large assault guns.
Yes Grenadiers did evolve into just big hulking troops but for a long time they did use a lot of grenades just like we use them in the game.
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