One doesn´t see much on this, as one usually makes the measurements at room temp. There was this vague memory, so I checked my books and found something only in the old Calvert and Pitts (?, don´t have it here). Not much details were given so I am guessing here:
If you remember Jablonsky(?) diagrams, the absorption is usually shown from the lowest vibrational level of the lower electronic level to various vibrational levels of the upper electronic level (this gives the broad wavelength distribution). The max is the transition which is the most likely (involved quantum statistics...). Now the Boltzman distribution depends on, among other things, the Kelvin temp and the spacing of the vibrational levels in the ground state. For most organic molecules I would guess that a 30° difference would considerably populate higher vibrational levels in this ground state. Now the transitions to the different upper electronic level´s vibrational states still follow the same rules, so the shape of the curve should be similar, but the energy is lower (since most now come from higher vibrational states). If your detector was set at the max wave length (at room temp) then, since it moved you will be at a lower absorption. This would require that if you changed your setting to the new max your absorption would remain the same.
Shure would like to know whether this interpretation (explanation) is correct. Should have checked my statistical thermodynamics book, maybe there is an example in it, ....can still do that.