grammar - "How come" vs. "How come that"

I'm a English learner who studies syntax. I often refer to English corpus such as COCA to learn natural uses of English. Then, I found some sentences involving "how come", followed by "that" and a sentence, for example, as following:

How come that you have such good English? / How come that you eat hot food in hot countries?

I have thought that those correct sentences of how come should be like "How come you have such good English", where "that" is omitted.

I want to know how native speakers feel about those sentences that involve "that" between "how come" and a sentence. Are they correct? Is there any difference? Or, are they a sort of error-like ones?

Thank you.