# [Charcoal], 21 bytes

    ∧⁼§θ⁰§η⁰⁼↧⪫⪪θ_ω↧⪫⪪η_ω

[Try it online!][TIO-j5nkjxun]

[Charcoal]: https://github.com/somebody1234/Charcoal
[TIO-j5nkjxun]: https://tio.run/##S85ILErOT8z5//9Rx/JHjXsOLT@341HjBiC1HUgBBR61LX@0avWjVavO7Yg/34ngbQfy/v9PDEssykxMykn1S8xNVUiML4Ny4/OAfAA "Charcoal – Try It Online"

This prints a `-` for truthy and nothing for falsey.

Link to the [verbose version][1]. It first compares the first character of both input strings (`⁼§θ⁰§η⁰`) and then compares the rest of both strings after removing the underscores (`⪫⪪θ_ω`) and converting to lowercase (`↧`).


  [1]: https://tio.run/##bcqxCsIwEIDhVwmdLpCCu1MHB0VEKLiGMw0kcCY2ia1vf95QcfHffvhcwOIyEvO1xNRgSBMc5hdShaEd0@TfMJudNt8JMtqojZzz6ovD6uGUY4LxSbGJV53ttFkF/gXhB6Q9M96wRLyTv@DDK7TLtjbJc79wX@kD