The LRT phylogenetically splits apart two lizardfish

1) The blunt-nosed lizardfish,
Trachinocephalus myops (Forster 1801, Fig 1 in yellow box) nests in the clade of codfish (Gadus) in the large reptile tree (LRT, 2240 taxa). This is apart from the other tested lizardfish (Fig 2), the one with av very sharp ‘nose’.

Figure 1. Taxa related to the blunt-nosed lizardfish, Trachinocephalus (yellow box). Note the migration of the orbit to the anterior of the skull. This appears to be a reversal to a similar morphology earlier seen in spiny-sharks and basal ray-fin fish. Reversals like this make the ray-fin fish clade difficult to order in a phylogenetic sense.

2) The (sharp-nosed) inshore lizardfish,
Synodus foetens (Linneaus 1766, Fig 2 in yellow) nests as a type of mackerel (like Scomberomorus) in the LRT. That seems obvious based on cranial traits – but not post-cranial traits (Fig 3), where the two lizardfish strongly converge.

Figure 2. Synodus, the inshore lizardfish, compared to its LRT relative, Scomberomorus, the king mackerel. Note how Synodus would be poor fit among the blunt-nosed taxa around Trachinocephalus.

This phylogenetic problem
was one of the last of many such problems affecting the scoring of the ray-fin subset of the LRT in the most recent round of housekeeping. Note the strong post-cranial convergence of the two lizardfish (Fig 3), likely due to both taxa inhabiting the sandy sea floor. Traditional taxonomists nest these two lizardfish together as members of the clade Synodontidae.

Figure 3. Two unrelated lizardfish: Trachinocephalus and Synodus demonstrating post-cranial convergence as both are found on sandy bottom marine environs.

This appears to be a novel hypothesis of interrelationships.
If not, please provide a citation so I can promote it here.

References
Forster JR 1801. in Bloch, ME and Schneider JG editors, Systema Ichthyologiae Iconibus cx Ilustratum. Post obitum auctoris opus inchoatum absolvit, correxit, interpolavit Jo. Gottlob Schneider, Saxo. Berolini. Sumtibus Auctoris Impressum et Bibliopolio Sanderiano Commissum. i-lx + 1-584.
Linneaus C von 1766. Systema naturæ per regna tria naturæ, secundum classes, ordines, genera, species, cum characteribus, differentiis, synonymis, locis. Tomus I. Editio duodecima, reformata. pp. 1–532. Holmiæ. (Salvius).

wiki/King_mackeral – Scomberomorus
wiki/Inshore_lizardfish – Synodus
wiki/Synodontidae