RE: Deos Dell Inspiron 7567 support Intel Optane?
Lenovo is shipping a few Thinkpads -- high end business models -- with Optane support. Expect Dell to phase it in starting with competitive Latitudes (and probably Alienware and possibly XPS models).
Don't expect it in Inspirons - low to mid-range consumer systems - any more than in Lenovo IdeaPads.
It may eventually get there - but it'll start at the high end and trickle down - as technology inevitably does.