Imperial Hippodrome makes a lot of sense, especially against the Ottomans, because you are going to be dealing with Sipahi. With Triumph, your Horsemen do 13 damage compared to the Sipahi's 12, making them slightly better.
Longbowmen make a ton of sense against Janissaries because the additional range means you'll have excellent tools to deal with them.
Against Byzantines, once the Triumph ability is activated, if they're not under your TC killing villagers, you can just run away and re-engage later.
Against a Byzantine Hippodrome build, you'll need spearmen at some point.
Against Byzantines, Ottoman Imams can be very effective because Byzantine players won't rush out archers; they'll gradually build Longbows. So the Imams can survive longer in the field, healing your units.
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