first off, both 5 gens (commonly referred to as egs) and 6th gens (commonly referred to as eks) have a double wishbone front suspension with some parts being interchangeable. They both have a trailing arm based rear suspension with the whole assembly being interchangeable. The 7th gen civics are the first of modern day civics to adopt the mcpherson strut suspension.
If you are just going to daily drive the car, the suspension type really does not matter. However, if you were planning to race the car in an event like autocross or attend track days, then double wishbone would be highly favorable.
Double wishbone suspension (image below) is derived from racing. It consists of an upper and lower control arm, sometimes referred to as "a-arms" or "wishbones." it has more favorable camber effects under cornering loads and is more easily optimized for high performance applications.
mcpherson strut suspension (image below) was adopted by honda for two primary reasons; first is the cost, second is the ease of manufacturing. These two go hand in hand and are a result of the much simpler design which integrates the shock/spring assembly into the steering knuckle itself. This ease of manufacturing and reduced cost come at the expense of less favorably geometry, that doesn't react as kindly as double wishbone to performance tuning.
tl;dr get a 6th gen if you like the looks, because they have double wishbone front suspension, just like the 5th gen.
