To expound: I'm thinking more equipment-wise, I'm reasonably familiar with the differences between light and heavy cavalry tactics. For example, what would Hakkapeliita have carried vs. what would cuirassiers have carried?
Even if Swedish cavary at the time rarely wore as much armour as Imperial heavy cavalry, they were being used as both heavy and light cavalry.
The Imperial Cuirassiers wore half-plate - thick plate armour that at raneg could stop a musket ball and at close range often stop a pistol ball. Swedish cavalry was instructed to not fire their pistols against Imperial Cuirassiers unless they could acually touch the armour with the pistol barrel, for the best chance to penetrate the armour. Likewise, they were instructed to aim for the eye slits of both man and horse with their rapiers (shortswords).
The Swedish cavalry was supposed to wear a cuirass and a helmet, but supply was scarce and often only a coat of heavy moose leather was worn under the jacket. Trousers were often also leather.
Both types of cavalry carried the same armament - a rapier (shortsword) and two or more pistols. Swedish cavalry rode (by European standards) small, ragged and hardy horses with excellent stamina while an Imperial Cuirassier would ride a much larger and stronger horse intended to carry the man and all the armour into a heavy charge.
Imperial light cavalry, such as the Croats and Hungarians wore cheaper armour (at times chainmail), or no armour at all, replacing it with thick woollen hats and animal skin slung over their left shoulder for protection (this is why you often see hussars with their fur jacked slung over the shoulder in later ages - it protected somewhat against swordcuts from that side). They would often equip rapiers (shortswords), pallasches (straight sabres) or sabres, but otherwise, armament was often the same - a sword and two or more pistols.
The Imperials also hired Polish light cavalry, who were often equipped with lances as well as swords and pistols.
You could recognise Swedish cavalry by their smaller horses and less armour compare to the Imperial Cuirassiers. The Cuirassiers were also the only cavalry to wear horse barding extensively. The Imperial light cavalry often wore animal skin over their left side and at times chainmail and the "lobster-tail pot" helmet.