  The quantum gravity conjectures that aim to separate the landscape from the
swampland among the low energy theories were originally formulated in the
context of scalar field spaces spanned by moduli. Because these conjectures
have implications for cosmology they have recently been considered in a more
general context for scalar field theories with potentials, in particular
inflation. From an effective field theory perspective the presence of a
potential induces a natural metric that makes the distance measure $D_V$ along
scalar field trajectories dependent on the potential. The present paper
proposes a modified formulation in terms of $D_V$ of those conjectures that
involve trajectory distances.
