Madmax- I've been to a few of the MVt courses. EITHER chest rig you're looking at will more than do the job. If the format is still the same, for the last drill or two on day 3 you *may* want to plus up to 6 mags, but you can fit 2 M4 mags in the radio pouch on the Mayflower, or slap a double M4 on the ATS.
NEITHER is gonna fit any sort of kydex insert, so don't bother trying.
If there's any left, the actual MVT rig is a good option to integrate kydex (which is nice to have, and way the hell better than fighting with flapped pouches or bungee), but for the CTT class, not super critical, especially if you decide to annoy Max and run a dump pouch (recommend the Tac tailor fite lite- best dump for $17 money can buy).... 
As far as which you should buy- where do you see going with the design and purpose of the chest rig?
To be quite frank, unless you intend to use it attached to the PC, the ATS rig (or something similar) is probably the better investment for you- here's why:
There's a good chance once you get far enough down the training rabbit hole things will start to change with your loadout- actually it will probably change a few times. A MOLLE based rig can allow you to meet these changes with a few bucks for whatever pouch you need, Vs having to re-buy the whole chest rig if it's not working out.
And while the Mayflower G-IV (or similar) rigs are a solid 80% solution, there's a chance your'e going to find some of the pockets on there wrong-sized or needless.
Quite honestly, unless your gear is VERY obviously holding you back in some way, I would run the class *with what you have now*. Runnin' and gunnin' up and down those hills for a few days WILL show you not only your own weak points, but anything and everything wrong with your gear (rifle layout included) will be made obvious, and when you get back to your room that evening and are sitting there cursing whatever the hell piece of gear is driving you bonkers... that's the time to start making a list of must have/must not have feature for future gear acquisitions (or eliminations).
Then come back home, cool back off for a few days, and revisit that list of annoyances compared to what you need (or thought you needed before the class) to fulfill your gear needs for whatever situations you see using this gear in.
This will save you a lot of money.... no sense buying a new rig before a class only to find out it's everything you hate afterwards.... #askmehowIknow 
Last edited by Jellybean; 03-24-18 at 21:50.
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