Retraining Multiple Class Levels - Gained at same time?


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I’ve been trying to understand the rules for retraining class levels, specifically for if the levels are all gained at the same time. Following the rules below I believe they are. The section on retraining class levels offers no information regarding this process besides a price so let’s start there.

“Unless stated otherwise, retraining costs gp equal to 10 × your level × the number of days required to retrain. This is normally paid in full at the start of the retraining period.”

Fairly simple. The full amount of the retraining is paid in advance all at once. If the retraining would consist of more than one class level pay for all of the classes levels to be retrained upfront.

“When you retrain a class level, you lose all the benefits of the highest level you have in that class. You immediately select a different class, add a level in that class, and gain all the benefits of that new class level.”

This section explains that there is no time difference between the loss of the old level and the new level being gained.

“When retraining multiple character options (class features, feats, classes, etc.) in one continuous period, all of the new selections are made at the end of that period in an order decided by the player. In this way players can retrain class features and their prerequisites at the same time.”

When retraining multiple class levels delay the selections until the end of the training. This is a key point of understanding that all the class levels aren’t gained separately and are gained immediately at the end of the period. I also believe it is important to understand what ‘selections’ are. For this we have to know the process for gaining a level found in Character Advancement.

“When adding new levels of an existing class or adding levels of a new class make sure to take the following steps in order. First, select your new class level. You must be able to qualify for this level before any of the following adjustments are made. Second, apply any ability score increases due to gaining a level. Third, integrate all of the level's class abilities and then roll for additional hit points. Finally, add new skills and feats.”
From this section we now understand that before anything else is taken into consideration we have selected our new class level. We then integrate all of the class abilities. We skip ability scores, skills, and feats because they are separately retrained.

Example: Mark is playing a ranger 5/rogue 2, and has decided he'd like to retrain one of his ranger levels into a rogue level (so he has to find a 3rd-level rogue). When he completes the training, he immediately loses all benefits from taking ranger level 5 (base attack bonus, saving throw bonuses, Hit Dice, hit points, skill ranks, and class features), then gains 1 level in rogue, immediately gaining all the benefits of rogue level 3. Mark's character is now a ranger 4/rogue 3. This retraining did not change Mark's 7th-level feat.

This is the official example of a retrained level of ranger into rogue. Let’s try and see how retraining two of the ranger levels to rogue levels would work.

Mark is playing a ranger 5/rogue 2, and has decided he'd like to retrain 2 of his ranger levels into rogue levels (so he has to find a 4th-level rogue). He pays 980 gold (10 x 7 x 14) in full before training begins. When he completes the training, he immediately loses all benefits from taking ranger level 5 (base attack bonus, saving throw bonuses, Hit Dice, hit points, skill ranks, and class features), then gains 2 levels in rogue, immediately gaining all the benefits of rogue level 4. Mark's character is now a ranger 3/rogue 4. This retraining did not change Mark's 7th-level feat.

The goal of this question was to examine the rules to see if all the class levels are gained at the same time. After reading all the rules content relating to retraining class levels I believe that this has been shown to be true but would like to confirm or otherwise hear what people have to say.

TL:DR
The levels are gained all at once at the end of your training. You then add all the benefits of those levels.

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