No, they would become effectless Effect Monsters.
That's because Gemini Monsters are Effect Monsters who have a
continuous effect that makes them be counted as a Normal Monster
while on the field. If Skill Drain is active, this effect is
negated, and the Gemini Monster reverts to being an effect monster.
However it does not gain its effect monster abilities, these are
only switched on by a 'second summon' of the Gemini Monster.