Addendum: a comment by the questioner has indicated that he believes that Drag may be reduced during flight at high altitudes, and wonders if the Drag is reduced proportionally on all parts of the aircraft, and if not, whether this would affect the aircraft's trim angle-of-attack, considering the large vertical distance between the various parts of the aircraft. For a given angle-of In steady-attack and thus a given L/D ratio, in unpoweredstate gliding flight, L = W * cosine (glide angle) = W * cosine (arctan (D/L)), and D = W * (sine (glide angle)) = W * sine (arctan (D/L)). Therefore in steady-state gliding flight, the L and D values are completely determined by the L/D ratio which is completely determined by the angle-of-attack, regardless of how high the Indicated Airspeed must be to generate those values of L and D. Therefore-- ignoring Reynold's number effects--5 Therefore there is no reduction in drag on any part of the aircraft just because the altitude is increased.
Consider an aircraft whose trim characteristics are such that it perfectly holds a given angle-of-attack regardless of changes in thrust, or changes in configuration that increase the drag coefficient (without affecting the lift coefficient). Even such an aircraft will still experience some change in Indicated airspeed when the Thrust is altered, or when the drag coefficient is altered. The reason for this is that the total Lift required for steady-speed (wings-level) flight is not constant, but rather varies according to the cosine of the descent or climb angle. For more, see this related ASE answer: Does lift equal weight in a climb?
We refer to a hang glider specifically, because the wing shape of a paraglider or parafoil may have no tendency to trim to any given angle-of-attack without the pilot attached, even the wing could somehow be made to maintain its shape. Note also that we're assuming the pilot either has his "hang strap" attached somewhat below the CG of the wing itself, or we're assuming that the pilot is holding himself in a fixed position relative to the control frame. If neither of these things are true-- if the pilot's weight is attached exactly at the CG of the wing, and the pilot is just hanging freely and exerting no muscle force on the control frame, then his weight effectively acts at the CG of the wing, not below it. In a paraglider or parafoil, the multiple lines act as fixed struts that hold the pilot in a completely fixed position relative to the wing, unless he is making intentional control inputs by pulling on the lines etc, so in way these aircraft provide an even better example of the dynamics we're exploring, except for the lack of inherent pitch stability in the wing itself -- these aircraft are totally dependent on "pendulum stability*.
See footnote (1).
Re "steady-state": for further insight into what "pendulum stability" does and does not mean, search up some videos of hang glider and paraglider aerobatics. Though limited to positive G-loadings, the maneuvers that can be performed in such aircraft may surprise the reader!
Ignoring any variation in lift and drag coefficients due to Reynolds number. Note that if the drag coefficients of the pilot and the wing are affected differently by the change in Reynolds number due to decreased air density and increased TAS, then that could produce a change in the trim angle-of-attack and L/D ratio, even if the L/D ratio corresponding to any given angle-of-attack remained unchanged. Note also that if we're bringing Reynold's number effects into the picture, we can't assume that the L/D ratio corresponding to any given angle-of-attack will remain unchanged. So-- "it's complicated". But the effect of changes in Reynold's number on the lift and drag coefficients appears to be beyond the intended scope of the question.