Different argument. They are clearly very different games. Concentrating for 10 hours to score a big double/triple ton is something as foreign to baseball as back to back mountain stages of Le Tour is to sprint track cycling.
The argument is whether or not it is easier to hit a baseball pitch or a cricket delivery. You've added in the qualifier of 'meaningful' and I accept that is reasonable even though plenty of edges in cricket will run away for runs. Essentially the question as I see it is which is the harder discipline to 'middle' a shot.
Baseballers have the disadvantage of a considerably smaller 'middle', but that is balanced against a much smaller 'target zone' for where the pitches are going. Four balls outside the strikezone, you get a walk, take one on the body, you get a walk. They also only face the variables of pace, swing and drop from the pitcher. The distance from pitcher's plate to home plate is a little longer than popping crease to popping crease, but obviously the pitcher's release reduces that a few feet so reaction times are comparable. Along with reduced area of 'good' balls, they have the advantage of a very limited shot repertoire. You have a much larger scope for premeditation in baseball than cricket because you are not looking to play shots through 360deg or to a large range of areas. I'm certainly not trying to denigrate the skill of baseball pitchers or hitters because it is considerable. But I don't think the smaller bat is such an enormous disadvantage to getting a good 'middled' hit away considering the other factors of the game.
Adding in the deviations and variety that comes from bouncing the ball on the pitch, and the ability of a cricket ball to swing further than a baseball, not to mention the fact that each ball could be coming at you anywhere between your toes and your head, directed at the body, at the stumps, or outside the line means on each individual ball a batsman has much more to worry about than in baseball. Obviously a pie chucker on a road isn't much of a challenge, but equally straight pitches at 120k are pretty simple to get a piece of. At the pinnacle of the game I'd consider it much harder for a cricketer than a baseballer to get a shot away on any given ball. Having a bigger bat doesn't prevent the very best batsmen playing and missing good bowling. It's the nature of the game.
If you say put up a cricketer with an eye like a dead fish (say Warner) against a top MLB pitcher, and a top MLB hitter against say Steyn on a greentop (or even just a pitch with a little for the bowler) I know who'd adapt the quickest and would be making the most regular solid connections. Just trying to adjust to length would be a nightmare for the baseballer so long as Dale mixed it up a bit and gave him a bit of chin music. Add a bit of late swing or seam and the poor guy wouldn't know what to think. I don't doubt he'd send a few over the long on boundary, but he'd pick up some nasty bruises on the way. On the other hand Davey might take a while to pick the change ups, but he'd be making plenty of good hits pretty soon.
The discussion came out of that US show which in no way replicated the real world conditions of top cricket. My test would be a much fairer demonstration of the difficulties of just middling a top class bowler no matter how good your eye and swing.