  Strong, scale-free disorder disrupts typical transport properties like the
Stokes-Einstein relation and linear response, leading to anomalous,
non-diffusive motion observed in amorphous materials, glasses, living cells,
and other systems. Our study reveals that the combination of scale-free
quenched disorder and geometrical constraints induces unconventional single
particle mobility behavior. Specifically, in a $2$-dimensional channel with
width $w$, under external drive, tighter geometrical constraints (smaller $w$)
enhance mobility. We derive an explicit form of the response to an external
force by utilizing the double-subordination approach for the quenched trap
model. The observed mobility enhancement occurs in the low-temperature regime
where the distribution of localization times is scale-free.
