Indeed, and (unlike the situation with analogue meters) there's no obvious reason why it should be otherwise.Whereas the modern digital ones tend to present the same resistance across the source, I think, irrespective of the range.
I can't say that I've seen that, but I have seen digital meters which have some sort of 'button' which, if pressed puts some sort of load across the test leads.Which is why some meters include some duplicated lower ranges, with a lower input resistance for checking the likes of batteries.
Kind Regards, John