Lots of good replies here already. I'll just add my 2 cents to piggyback on what others have already said.
In your first thread on the subject you were having trouble with the concept--now you sort of have the conceptual idea of planning training down and are asking questions about STYLES of periodization. Always remember that periodization isn't random--it isn't JUST a description of your training variables. It is a way to make them build on top of each other, so there is a direction to it and a timeline (usually given by a deadline like a meet, competition, or tournament).
Block periodization can mean a few different things--one of the most common is basically a subset of linear periodization. In fact you described it pretty accurately-- 3 weeks hypertrophy (block 1), 3 weeks strength (block 2), 3 weeks peaking/power/speed (block 3). Block duration can change and is usually determined by the amount of time until your deadline and what needs the most work: for a fighter with a bout in 12 weeks that lacks strength and power but is fast and has endurance, you would take that into account when planning out the 12 weeks---something like 4 weeks strength/hypertrophy, 4 weeks power/max strength, 2-3 weeks power, 1-2 weeks peak and deload. Really it could vary a ton and would depend on the exact fighter's weaknesses, but that is a general example.
Conjugate periodization also means a few different things, but what most people mean (especially in powerlifting) is basically trying to train ALL aspects of a sport at once (or at least most of them). This is done by essentially setting aside time out of each week for each variable. For Westside Powerlifting the basic template from the 90s did the following: Max strength 1 day for each upper/lower body, Speed/Power 1 day for each, and the last half of the workouts was geared towards muscle growth or weak point training (hypertrophy for weak muscles, etc. which could also be loosely considered "endurance" for a sport made of 1 rep maxes)
For a different athlete like say a decathlete it would be much more complicated but the goal is the same: set aside days or sessions out of each week to work on ALL aspects necessary. Let's think about it a different way: Instead of blocks of 3-4 weeks working ONLY on one main attribute for an athlete, you'd focus on multiple attributes every week. So each week might look like:
Day 1: Speed
Day 2: Agility
Day 3: Max strength and hypertrophy
Day 4: Rest or Conditioning
Day 5: Strength and Power
Day 6: Endurance
Day 7: Rest
These would all follow their own progression patterns, with an eye towards improving each of them over the same period of time (say, a month or 8 weeks). This is only one example, and was not made for any real reason other than illustrating the concept (i.e. I wouldn't plug this into someone's training). HOWEVER, put this way you can easily see Louie Simmon's idea: Day 1 max strength, Day 2 power/strength-spreed...etc.