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That depends on a lot of different factors that we don't know. Each printing technology (sla, sls, fdm, etc.) is going to have different levels of detail that they are capable of to begin with, and will have their own challenges with respect to support, and such. As it is set up, this appears to be optimized for fdm, That said, even here there are many factors that affect print speed. As an example for this level of detail, I'd like to print with a finer nozzle, say, .2mm rather than the .5 that I have, and print at layer heights of .1 rather than the default of .2. Each of those factors will result in different times taken for a given print head speed. So if I can print at 50 mm/s, printing .1mm layers instead of .2mm will double the time it takes to print. To use a .2mm nozzle instead of a .5mm nozzle I'm looking at about 2.5 times as long. If I do both, I'm looking at about 5 times as long, so if I could print this in 8 hours at .5mm nozzle and .2 mm layers (which would show layers like crazy) it would take at least 40 hours to print this at a higher resolution.
In any case it's easier to determine how long something like this will take to print if you know how much filament you're going to use in FDM, as the other factors provide limits on how much of that filament will be extruded per unit of time (second, minute, hour, etc.)
Most slicer's will give you an estimate of how long it will take to print, or how much filament it will use in the FDM world. I presume that there are similar metrics that slicers for SLA and SLS will give you. Not all of the programs will give you a 'reasonable' estimate. Cura appears to be off by 1.3 to 1.5, estimating low for my print jobs. Not enough to matter on a 5 min job, noticeable on an 8 hour job.
All of this completely ignores the size you are going to print this at. The design gives a fairly idealized model to look at in the online view, and in your slicer. Printing larger editions are likely to look more like the idealized model, but will take longer in a cubed ratio than a smaller print that won't display nearly the same level of detail on the same printer.
All of that said, the only way you are going to know for sure will be to download the .stl, feed it into your slicer, and see how long it takes to print.