No, because it is a different category and class of aircraft. Currency is for category and class. If a type rating is required, they need to be in that type. But, as I understand it, if I have a type rating in a Lear 24 and do my 3 required takeoffs and landings, I am then current in the Aztec since they are both multi engine land aircraft. I am not current in the Lear if I do 3 takeoffs and landings in the Aztec.
Tailwheels are still same category and class as their tricycle gear counterparts, hence why that works.
So, let's say after having not flown anything for 100 days, I get a call at 9 PM for an emergency puppy rescue (stranger things have happened). I get home at 4 AM, having made three night take-offs and landings. I'm now night (and day) current in the Aztec.
A week later, I get a visit from a friend who I want to take flying. Since this is a pleasure flight and this person's first time in a small plane, I figure I'll take the Archer, no need to burn 28 gph. No can do until I've done my 3 take-offs and landings.
I have a few friends who are multi engine current, but haven't been single engine current in years.