This team is a strong cup contender

Cup contender for sure. Very good team.

Lose in the finals, it's what Cory Perry does

The most important thing for this team would be to stay healthy!

0 Cap and no spare players the moment 1 player gets a short term injury or illness they are playing short . Your top forwards/D are good but kinda falls off for cherry picking a team.

Swap McDavid for Drais, is McDavid the better player? Sure but how much more can you improve your team with another 4 mil in cap space.
Replace Vasilevskiy/Nedeljkovic for two of Demko, Shersterkin, Markstrom that gets a really strong pair of goalies and still saves you 1.5 - 2 Mil in Cap
Just in those 2 changes you have added 6 Mill in cap space to have 2 healthy scratches and upgrade your middle 6 wingers.

The point of me making this was to assemble a roster with $0 in cap space

I'm saying you could use that 6 Mil to get better forwards/D to still be at 0$ and have a overall much better team