TSD and TKD (like any MA) can vary a lot from one dojang to another, even in the same city. It depends on the lineage of the dojang and style of the Instructor. So, you can find a TSD style which is almost identical to TKD. In another city, you may find the very opposite.
I have seen TSD students which I'd swear they were TKD or any MA but TSD.
Training methods are very different between dojangs too. Some are hard and some are softer.
In my Dojang, we have the OLD method. It is very hard, traditional and authentic.
But, the problem is the people,
they are lazy. The majority of students don't like hard training. They think a martial artist can be made in a single week, like a Holywood movie.
We ran out of students 6 times in 15 years. Had to close dojang and start over because people doesn't like hard work.
Because of this, many schools go to the easy side of MA: Soft trainings, easy Black Belts in 3 years, fraudulent tournaments, soft sparring, no sweat at all.
Its the easy way to have many students and make profit. As a matter of fact, many dojang owners only care about money.
We discussed this many times when we closed a dojang. We were faced with the decision of going soft and have many students, or continue the same way and have few.
We decided to continue hard, even if we are alone. Is better to have 1 good BB each 5 years rather than 50 bad.
I have had 6 year old kids crying in anger trying to break a wood or doing a difficult thing in a gup test. They know the just have to do it or keep the same belt. It's Martial Art, period.
We even lower the rank to students who don't keep the hard work and get lazy.
Many people say to us this is archaic, but we think this is the real TSD.
Some parents take their child away cause they think we are torturing them. No single student has been injured since I remember.
We train at sub-zero temperatures at morning, no shoes. We train outdoors under the sun with hot floor, or raining, again no shoes.
We do sparring with no protection, only gloves. A Sa Bom Nim once told me "If there is no blood and bruises, it isn't sparring"
Few students withstand this. Some parents have told me we're crazy. I said: It's the Tang way, for crying out loud! accept it or take your kid to the boy scouts. (Some of them did

)
Tang Soo!