The wool will take longer to dry. It'll also be heavier than a similar synthetic shirt. Those are the trade-offs one makes for wool.
I like wool for a lot of reasons, such that the trade of is worth it. My Stoic and Smartwool tops have been more durable than my lightweight synthetic tops. They're warmer, retain less odor, and feel nicer. Lightweight merino wicks at least as well as Cap 2 in my experience. Not as well as Cap 1, but well enough to keep up with me sweating up to the 80s or 90s F. In 90+ F at 99% humidity, I'd take the Cap 1 or similar over Cap 2 or Merino, but that's about it.