We present a comparative study of the transport properties of FeSe1-xTex crystals with x in the range of 0.3 - 0.4 and pure FeSe crystals. For all the studied samples, there is an anomaly in ρ(T) dependence, which apparently corresponds to a structural transition. However, the shape of this anomaly for compounds with x≈ 0.3 - 0.4 differs significantly from the shape of the anomaly near the nematic transition in pure FeSe. Besides, the resistivity at low temperatures for crystals with x≈ 0.3 - 0.4 is proportional to the square of the temperature, while for pure FeSe in the temperature range below the structural transition it is almost linearly dependent on temperature. This difference in transport properties indicates a change in the ground state and the existence of a quantum criticality, possibly related to the magnetic and non-magnetic types of electronic ordering. In addition, the phase diagram of FeSe1-xTex at low x eventually resembles the part of the well-known phase diagram of FeSe under pressure, where the region of nematic ordering directly borders the region of magnetic ordering. © 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.