Uri, most of your comments are a great indicater that you haven't played chess for very long and if a FM tell you something then there closes to 100% correct. As for your last comment i think dracikfm said CTS teaches the user to react fast and is good for blitz or bullet but useless and counter productive for OTB.
CT teaches you how to calculate accurately long variations and increase the speed of calculating accurately. But of course you are a beginner and just learn how to move the piece CTS is a bit better because it will teach you tactics.
I just got to the top 20 in standard rating at the time of this post
I have a fide rating of 2049 so I am clearly not a beginner.
I played in a tournament in spetember this year so
"you haven't played chess for very long" is clearly wrong.
The only thing that I can agree is that there are people who learn to play faster
from training in CTS or from playing blitz(otherwise people are not going to suggest
the idea that CTS is counter productive for OTB).
I am clearly not one of them.
Note that the best GM's in OTB games are also the best blitz players so knowledge to play blitz well is clearly used for OTB games and I do not believe that I can become significantly better in blitz without being better in OTB games.
Uri