The Met Office warning is pretty clear in that it'll be a mostly high ground affair.
Looking at the high res models the front is over Yorkshire between 9am-3pm which isn't a particularly long window of opportunity. Plus its during the day, ideally it would had arrived at night.
I think realistically we'll see sleety mix to low levels inland, cold rain for east Yorkshire. I'm expecting the snowline to be around 160m from past experience in these situations. 2-5cm sounds about right. I don't expect any lying snow below 160m but you never know.