So this is where we stand, Zdad & everyone,
I said you didn’t have to take my word for it because even I wasn’t taking my word for it, because I had no actual sources to prove my statement.
Nechomah made the same statement I did. She also didn’t back herself up with a source but isn’t bothered by that and is confident that she’s correct.
LilmodU gives Nechoma’s (unsubstantiated) statement +1. She says, “I don’t have a source off-hand and I don’t have time to look for one,” but is likewise unconcerned about that minor point.
So you don’t have to trust me, but you may trust Nechomah and LU.
They won’t steer you wrong.