This is a different process with somewhat different goals. Dermal sheath cup cells are isolated from the dermal papilla, multiplied and then put back into the scalp with the goal of their migration to thinning hair and bestowing them with the properties of the balding resistant hair. It is also hoped that this could give rise to new follicles entirely, but we'll have to see.
What you're thinking of is an issue regarding hair multiplication in vitro for the purpose of transplantation into humans. Riken aims to actually multiply primordial hair follicles and inject them. The problem is that it requires both epithelial and mesenchymal stem cells, but epithelial cells cannot be multiplied infinitely while retaining their hair-inducing properties; you must multiply both in equal, high quantities. However, there is much ongoing research on this and in the interview they did with hairlosstalk, they said that recent research has shown them potential solutions to it and they recently stated that they are still on track to begin human trials in 2019.
Other methods, like TissUse by my understanding, use a different approach and as such may or may not face that issueI
Japan's revamped stem cell and regenerative medicine laws allow for conditional market approval after 2 phases instead of 3 so long as the product is safe and has efficacy. Recently, the US adopted a somewhat similar law called the "21st century cures act" and in some statements from Lee Buckler, RepliCel does plan to leverage that if they can. As a result, Shiseido could release the product late next year or soon after depending on results and what they decide to do.
There is also the matter that most countries accept foreign data up to some extent and this appears to have happened when Shiseido licensed the technology. However, there are literally hundreds of pages in every country's version of the "FDA" as to what things they accept and what must be done on in their own country. As far as I know, in Canada anyway, foreign data is accepted on drugs and medical devices provided X,Y, Z protocols were followed but I'm not sure what their stance is if it involves cells.
Shiseido's treatment will NEVER leave East Asia, as they have an exclusive license for that continent and that continent alone. So if you wanted that before 2020, it's a pretty safe bet that you'll have to fly to Japan. However, depending what North America and Europe accept for foreign data and laws like the 21st Century Cures Act (or if Trump gets his way with the FDA lol), it may not be too long after.
