A lot of huge nodes require considerably high minimum channel capacity when you are creating own channel towards them.

Yes, it's rational as once-paid on-chain fee is negligible comparing to to future routing fees profits. And large channel have better options for self regulations and less tendency for bumping in one side. Yes all that is understandable: big players need profit and try to minimize their losses.

But from from point of view of a regular user who wants running own lightning node without storing on hot-wallet thousands of dollars, low-capacity channels more preferable.

Here I added and constantly updating the list of channels with lowest minimum fee.

Of course date of adding in the list matters, since everything changes rapidly and after several months this information will be just garbage.