About 1/2 to 3 Reams of Paper a Day
Even a primitive fourdrinier machine like this is surprisingly efficient. Using the picture you provided we can look at the gear ratios to get a decent clue into how fast it was.
![enter image description here](https://cdn.statically.io/img/i.sstatic.net/OW2q7.jpg)
The first and most important gear ratio is the relationship between gears 1 and 2. Sadly, this is the hardest ratio to make out because it is most obscured, but it appears to be about an 8:20 tooth ratio. If we assume that the crank gear is about 3/4" in diameter, that means that the press roller turns at a speed of (.75*pi*8/20) = 0.942 inches per turn of the crank.
A hand crank like this can be sustainably operated at a rate of somewhere around 0.5-0.75 revolutions per second meaning to get a standard 11" sheet of paper, you need to turn the crank for roughly 16.5-22 seconds. In an 8 hour work day that is about 1300-1750 sheets... but that is just the time spend turning the crank. It would also take labor to prepare the pulp and dry it.
If we assume the paper maker is having pre-split, fireplace ready wood delivered to his workshop, then that is already a lot of labor actually being outsourced because you have to burn a lot of wood to make primitive wood pulp paper, and all the wood that you pulp needs to be debarked. But, if we say he is just getting logs delivered to him, then he has to spend hours a day splitting and preparing wood.
Making the pulp without modern chemicals, wood chippers, and pressure boilers involves boiling wood for days on end (like making pulled pork, but even more time consuming) So, you are burning far more of your wood than you are turning into paper. Tending these wood burning fires takes time and vigilance; so, we should assume that the paper maker may have 5-7 large pots of boiling wood, each to make pulp for a following day, and he will need to stop making paper every 30 minutes or so to add wood to fires, adjust water levels, and stir to remove outer layers of digested wood exposing the inner layers... so probably about 10 minutes out of every 30 will be spend watching his pulp pots.
Then you also have drying. This fourdrinier machine has a wet end and a press, but no dryer or calendar. This means that as the paper is pressed, it will have to be cut and hung to finish drying. So, for every 16.5-22 seconds you spend pressing the paper, you need to spend at least as long cutting it and bringing it to a sort of cloths line to dry.
So, we can probably say that if your paper maker is just running the press, but has a wife and kids to do all the wood collection, preparation, and hanging for him, then he can produce about 3 reams in a day by just operating the machine. But, if your papermaker is a hermit who lives by himself and has to do everything, then you are looking at about 1/3 his time spend on preparing wood, 1/3rd spent tending the pulp pots, 1/6th of his time pressing, and 1/6th of his time hanging. This means that your paper maker could make roughly 250-1500 sheets (1/2 to 3 reams) of paper a day given this machine and an adequate workspace.
There are also a wide range of possible finishes your paper may or may not have to improve consistency, texture, color, and toughness that without any mechanization could also significantly reduce your output.