  We investigate inverse proximity effects in a spin-triplet superconductor
(TSC) interfaced with a ferromagnet (FM), assuming different types of magnetic
profiles and chiral or helical pairings. The region of the coexistence of
spin-triplet superconductivity and magnetism is significantly influenced by the
orientation and spatial extension of the magnetization with respect to the spin
configuration of the Cooper pairs, resulting into clearcut anisotropy
signatures. A characteristic mark of the inverse proximity effect arises in the
induced spin-polarization at the TSC interface. This is unexpectedly stronger
when the magnetic proximity is weaker, thus unveiling immediate detection
signatures for spin-triplet pairs. We show that an anomalous magnetic proximity
can occur at the interface between the itinerant ferromagnet, SrRuO$_3$, and
the unconventional superconductor Sr$_2$RuO$_4$. Such scenario indicates the
potential to design characteristic inverse proximity effects in experimentally
available SrRuO$_3$-Sr$_2$RuO$_4$ heterostructures and to assess the occurrence
of spin-triplet pairs in the highly debated superconducting phase of
Sr$_2$RuO$_4$.
