It depends on whether or not this serpent tail has any extra features suited for the air. If its just a plain snake tail vs normal human legs they'll have only slightly different aerial agility.
The snake tail is longer, so it will create a bigger moment arm. Like a big lever to change direction with. On the other hand, in order to fly the upper body of the lamia will need to be heavier to offset the longer tail, which means the tail will be quite light or thin so that the overall weight of the lamia is low enough for flying(which for this whole thought experiment I'm assuming there is supernatural strength, magic, bodies made out of special light materials, or a low gravity world involved).
On the other hand, the Human has two legs, which means two levers. Moving limbs can shift the center of mass of the body, and the two legs could be used to more finely control that shift in balance. Mainly because having a pair of limbs allows room to do a sort of counter balance for stabilizing. There's some cool videos of eagles plucking fish out of the water and as they approach and their legs come down they will sort of lean to one side or the other with them. The wings are obviously far more important, but they can still use their legs to influence their flight.
Things can change a lot if the legs or tail have different shapes or qualities. Feathers, leathery flaps, or even the width of the tail will alter things. Since you said angel, I'm assuming the classical appearance which means no tails or other extras, but the lamia could have far improved flight characteristics with some small changes.
Vertical feathers or spines(as was mentioned) could apply a small bit of forward propulsion with a sort of slithering motion. There's also the option of the tail being very wide like the spread of a cobra's hood. Increased surface area makes for more lift and more efficient flight. Then its like half a wing and with a wide flare on the end or vertical fins it can even be a flight rudder. If the lamia's tail has useful flight characteristics it would definitely be more agile than the angel with only a pair of wings attached to an otherwise fully human body.