No, for several reasons:
If pipes are installed properly, they don’t plug up.
Plumbers report, that the reason for plugged drains is almost every time located in the trap. Sometimes the hair build clusters that reach far in the drain pipe, but the starting point is always an obstacle under the cover or inside the trap.
By the use of Freilauf, the general amount of hair in the drain system increases not much. Other drains don’t catch all the hair. A clean conventional drain lets pass up to 90% of the hair. This number decreases with the amount of hair that collects. Besides that, shower and washbasin are not the only source of hair. A lot of hair end up in the drain system via washing machine, and toilet
The washing machine puts a lot of hair in the drain, it is connected directly to the pipe, without any obstacles. No one ever heard of pipes plugged by hair out
Most people take the hair out of the shower and throw them into the toilet. So, after 5m they are in the same pipe again.