The nuclear properties of $^{36}\mathrm{Ar}$ composite $\ensuremath{\alpha}$-like nuclei produced at 46.72 MeV of excitation energy via the $^{24}\mathrm{Mg}+^{12}\mathrm{C}$ reaction were investigated. In the past, at this excitation energy, resonant structures with peak-to-valley variation of 50--100 mb have been observed for this system and associated with fusion cross sections. To reveal the nature of this phenomenon the fusion channel observable was investigated. Exclusive measurements of $\ensuremath{\alpha}$ particles and evaporation residues were carried out at Laboratori Nazionali di Legnaro using the $8\ensuremath{\pi}\mathrm{LP}$ apparatus coupled to an evaporation residue detector. Then the experimental data were interpreted through the comparison with statistical model predictions. The energy spectra in coincidence with evaporation residues evidence the limitation of the statistical model assuming nuclear shape of the compound nucleus according to the rotating liquid drop model. To reproduce the experimental data very elongated nuclear shapes and reduced barriers for light particle emission have to be considered, with a major to minor axis ratio up to 3 at higher angular momenta. This large value for the axis ratio is selected in agreement with the predictions of the cranked cluster model and is consistent with previous findings for $\ensuremath{\alpha}$-like nuclei.