For a standalone ESXi, EVC is not needed for AVX to be available. The purpose of EVC is really to mask off CPU features (i.e. make a newer CPU look like it is an older model such masking off AVX to run a VM on a host CPU that does not AVX).
Two basic requirements for ESXi standalone home lab to have AVX, the CPU needs to have the AVX instruction set and the virtual hardware version of the VM(s).
For Intel Xeon/i3/i5/i7, minimum is Sandy Bridge to have AVX. Haswell or newer is required for AVX2
The virtual hardware version minimum is 8 for AVX to be present and version 11 is the minimum for AVX2.
Question is what is the CPU of the machine in the home lab? And check the virtual hardware version of the VM(s).