Piece Capture Removal Rule Explanation

I am new to draughts and was reading the rules of the game. The capture rule section mentions that pieces are removed only after the capture sequence is finished and said analyzing the solution of would explain the necessity of this rule. However I couldn't figure it out. It would be really great if somebody could be kind enough to throw a hint my way (No need for complete explanation. I need to become a better player after all!)

P.S- I am sorry if this question has been asked before here. I tried to find if it had been but couldn't find a thread so posted this. Have a great day!

(1) Some words on puzzle #262.
It is about particularity of capturing rule.
In majority of draughts variants a player must observer Turkish strike rule. Some draughts theoreticians and coaches prefer to call this rule in French manner as "Coup Turc".
What you must understand, is not the exact definition, but the game mechanics of this rule.
In very simple words, your "flying" king should not capture any opponent piece twice: it is not supposed to act as "vacuum cleaner" upon your opponent pieces!
"Turkish strike" is a rule which is designed in order to balance the power of "flying" king: otherwise, it would be very hard to trap "flying" king with simple draughtsmen.
Yet I have to say that "Turkish strike" is not something ordinary event which takes place in every game. In my opinion, it occurs not more than in 2% of games. Usually, "Turkish strike" is used as an extra for delivering tactical shots in the latest phase of combination. From practical point of view, "Turkish strike" is more common in positions where a player who is about to apply "Turkish strike", has more than 5 pieces on the board. Yet, even if it is a rarity, you must be aware of it, because sometimes this rule brings a win as out of nowhere!
Now some words how you should identify "Turkish strike" in puzzles.
In 80% of cases, these puzzles contain a preparatory phase where you are supposed to sacrifice some draughtsmen, so that an opponent gets a king. Afterwards, you sacrifice some draughtsmen more or use a valuable in-between move for trapping opponent's king. Structurally, the key moment is that opponent's king partially destroys your column which aims to deliver a shot, but at same time your opponent's king must stop on a square where it is trapped, so that your column gets intact from tactical point of view (pay attention to white column 38-33-29 in puzzle #262).
In other 20% of cases, the puzzle is about finding a way how you should trap opponent's king which is already on the board. In these cases, sometimes the puzzle may not result in a win, but in a pure draw. "Turkish strike" can be powerful means for saving a game!
(2) Some words on Turkish draughts where "Turkish strike" rule is invalid (!!!)
In Turkish draughts, the exploit of opponent's king for tactical purposes occurs more frequently than in International draughts. However, in most of cases, the idea is that a player gets powerful king which acts as a "vacuum cleaner" which is obtained for very high price (sometimes, even 9 draughtsmen are sacrificed for getting a king! In that case, "vacuum cleaner" idea is justified.
However, Turkish draughts restrict the rule of "flying" king differently: although "flying" king is powerful, it can't change capturing direction by 180 degrees (i.e., to a row or a file from where it arrived by capturing). See examples in a video:
I believe that after watching that video you would have an insight why "Turkish strike" rule was a good invention. :)