Ya, example here. Although if you have a fantastic Master with a large mana pool, you can boost the "freebie-MR" to some very significant levels.
Magic Resistance: E
Magic resistance gained through the class ability of Archer. However, since Gilgamesh did not have any abilities that can resist magecraft, it remains at the minimum level of E. Its effect is merely light damage mitigation against sorcery rather than full neutralisation. The cause of his low Magic Resistance is probably related to his Master, Kotomine Kirei’s lack of magical energy. In reality, during the Fourth Holy Grail War, Gilgamesh’s Magic Resistance was elevated to C with Tohsaka Tokiomi as his Master.
Although his Magic Resistance is low, Gilgamesh is able to neutralise most sorceries due to having many items that defend against sorcery, such as the golden armour. The defensive powers of these items are quite high, as Rin’s sorcery was completely repelled.
If magi attempt to use large-scale sorceries and act as “mongrels” that impede the king, Gilgamesh will simply unleash a raging wave of Noble Phantasms and completely crush them without giving them the time to cast spells. (Translator’s Note: Gate of Babylon and Sword Spam are now officially categorised as a form of Magic Resistance.)