  Source-free so-called ModMax theories of nonlinear electrodynamics in the
four dimensional Minkowski spacetime vacuum are the only possible continuous
deformations -- and as a function of a single real and positive parameter -- of
source-free Maxwell linear electrodynamics in the same vacuum, which preserve
all the same Poincar\'e and conformal spacetime symmetries as well as the
continuous duality invariance of Maxwell's theory. Null field configurations of
the latter however, including null electromagnetic knots, are singular for the
Lagrangian formulation of any spacetime Poincar\'e and conformal invariant
theory of nonlinear electrodynamics. In particular null hopfion-Ra\~nada knots
are a distinguished and fascinating class on their own of topologically
nontrivial solutions to Maxwell's equations. This work addresses the fate of
these configurations within ModMax theories. A doubled class of ModMax deformed
hopfion-Ra\~nada knots is thereby identified, each of which coalescing back in
a continuous fashion to the original hopfion-Ra\~nada knot when the nonlinear
deformation parameter is turned off.
