Primary training in a Hi Perf complex acft

Total stream-of-consciousness post here...

Anbody learn to fly in a high performance complex aircraft? Bonanza,
Saratoga, 182RG and the like? I know it's possible, just wonder how
much longer it'd take for a student to master something with
significant power and prop & gear controls. (I did all my instructing
in 172s and PA28s)
I watched that goofy Segal movie Executive Decision the other day
where Kurt Russell was a student pilot flying a Bo, and later used his
stellar(?) flying skills to plant a 747 at a GA airport. It got me
thinking about ab initio folks learning in Cirruses (Cirri?)
Obviously with no prop or gear control it's a simpler aircraft to fly
but the performance is equal to or better than a A36.