Which is stronger, a Castle or a Conflux?

In terms of cost and growth rate, Conflux is far ahead; even a fool can see that. It's much faster and easier to build up, plus the units are cheaper: 7 upgrades cost 2,000 and 1 Mercury, and their growth rate is 4 (Castle), while Archons cost 3 gems and have a growth rate of around 2? But yes, they cost as much as 2 Phoenixes, no doubt! Moving on, Fairies are weaker than Halberdiers but faster and have a counterattack ability, plus there are many more of them! Conflux archers are stronger and faster, and Ice Elementals are preferable to Griffons. So far, Conflux has a +3 advantage over the Castle army, in my opinion! Next, Crusaders and Fanatics give a +2 to the Castle, and I'm not sure who's better between Champions and Magic Elementals... and Archons give a +1 to the Castle. In general, the creation units are tied at 3:3.
Tactics: Train Water and Earth magic in the university, level them up to expert, and attack a Knight/Priest hero. On the first turn, Conflux should definitely cast Slow on all "Heaven" units, and then proceed with the battle as you see fit. In practice, it will be difficult to defeat the Castle with Conflux if the opponents are equally skilled (which is impossible!!!, this isn't a game where you can repeat the same thing over and over again!!). I personally think the Castle should win, but only if the game drags on. If it's the first month, I think the Elementals have a good chance of winning.