I remember comparing the rise of, not Putin, but Obama to the rise of Hitler and commenting on the parallels. But I did so only after a careful reservation of the scope and intent of the comparison to avoid the problems you describe.
OK, you are on. In the Hitler Sweepstakes, Putin wins.
Charisma. Putin 0.5: Obama 0.5 (neither is as good orator as Hitler).
Recession. Putin 2: Obama 2.
“Vertical of power”: Putin 3: Obama 3
Confrontation with Catholic Church: Putin 4: Obama 4
What else have you got? But Putin also has...
Losing an existential war that deposed the old regime;
Blaming foreign powers;
Disillusionment with international finance, economic autarchy;
Military buildup;
Surrounded nation mentality;
Steps to reclaim the lost empire where possible;
Alliance with former enemy (USSR for Hitler, China for Putin);
Cultural conservatism;
Longing for “New Europe”;
Admiration for the Anglosphere combined with treating it as an unnecessary enemy;
I probably got more.