But seriously - shenanigans are fine in general. In this draft, though, the very idea is to to see what kind of team we can build with a very specific (and possibly very challenging) restriction in place.
Like
@Enigma_87 said, people will go down two opposite routes here: go big (with big sacrifices) to begin with - or go tactical (with lesser sacrifices) to begin with *. Introducing shenanigans into this concept doesn't work.
Well, I suppose it works in the sense that you get meltdowns - but, really, c'mon.
Bottom line (for me): the concept itself is very interesting - there's no need to spice it up with meltdowns.
* Which means, essentially, that by introducing shenanigans you punish those who went for the former method: it's not a random thing which strikes blindly across the board, it's a clear disadvantage for one group of managers - and that really is too much in a draft like this.