The flights of ballooning and kiting spiders are not all the same. Any particular flight will differ from other spiders' flights. And in any particular flight there will be various amounts of kiting occurring; but it is astronomically greatly probably that some kiting is occurring in the natural silks being wafted by the air. The spider's body is a wing in the kite system; the silks are playing two parts: wing and tether. As the natural frequencies play over the silks there will be non-straight portions of the silks that form various and changing airfoils; as the dynamics progress there are lift and drag vectors occurring all along the changing-form silks; and the spider body is wafted and keeps changing its face to the ambient wind over its body. There will be moments in some spider flights where lift won't be enough to overcome the mass of the system ... and at those moments the system will fall lower in the stream unless thermal or vertical drafts overcome the absolute fall rate relative to the ground. A kite system need not be a great lifter; indeed kiting may occur when above-zero lift is occurring on some part of the system. Spider flights where there is zero thermal or updrafting occurring will have less distance success.
When a kite's anchor set is moving (
FFAWE, moving towing anchor, kite hang glider kiting gliding flight, ), there is still kite present. When the anchor set is not moving relative to the earth surface, there can still be kiting occurring. Of special importance to some spider kiting flight concerns the wind gradient; the silks may fly in wind that is faster moving relative to the ground than the airs lower where the spider's body is reacting with the air. The upper silks are wing; the lower body is wing; the upper silk is tethered to the spider body; the spider body is tethered to the upper silks. Upper silk ends whip and undulated from the influence of various undulating reactions that occur in the system; the lifting and dragging that occurs over all parts of the system form a kite system; the system is not lighter than air, but has mass. My guess is that the spider kite system is a very poor L/D system, but one that will flow with thermals easily because of system drag; as the flow goes up or obliquely up, the system goes with that flow. My guess is that the spider system is a better parachute than a glider, but the format nevertheless forms a true kite system, however poor is the L/D; but good drag from the undulating whipping form-changing silks.
Early toy kite contests sometimes would not respect a kite that did not obtain a steady tether angle of 15 degrees or higher. Such was formal kite-contest ruling. But formal kite-contest rule making does not define mechanical kiting. A kite system that reacted to get a part off stream directions while involving a tether between two wings is a kite system during that deflection off stream. During the drag of spider silk some deflection off stream occurs because the silks cannot stay perfectly straight in natural real-air flows; and once some bit is off-straight, then some form reactions occur that give some non-zero lift component traverse to the ambient stream; presto: kite. In real life it is almost impossible to have an absolute non-kite parachute, no matter how much engineering takes places to sculpt a symmetrical parachute; so, almost never is there a non-kiting parachute.