Following this advice on Meta, I'm going to throw in an answer I'm pretty sure of, but could be corrected on.
Scanning down the list of example counters in the Wikipedia article you linked to, every one of them starts with 一{いち}
, or it's phonetically adjusted equivalents like 一{いっ}
. There were a lot, though, so maybe I missed one or two exceptions.
Thus, the rule of thumb I think you're looking for is:
Unless you already know for sure it's an exception, always guess the
counter starts with 一{いち}/一{いっ}
I think this could be said for just about all counters, not just foreign words. Since you're asking specifically about "loan-counters," though, the point is that this rule of thumb would encompass them as well.
I can't think of an example exception, along the lines of 一人{ひとり}
and 二人{ふたり}
, that uses a loan-word in the counter.