How would the dynamics of anatolia have changed
Maybe not that much, at least in short term.
IOTL, it didn't have devastating strategical consequences, and Byzantine Anatolia wasn't lost, and Turks having lost pretty as much than Byzzies.
The problem is that Byzantines proved unable to take back the entierety of Anatolia, and Manuel's tactical errors greatly discredited him while he had done a lot to ensure Byzantine presence and sphere of influence in its neighbouring regions : think that Latin State openly acknowledged his suzerainty, and that he beneficied from support on western Christianity in spite of being more interventionist than many of his predecessors.
The middle-term consequences are probably more important : it would probably make the later expeditions (that took place IOTL after the battle) being less re-stablizing campaigns than more ambitious operation of strategical reconquest in central Anatolia. By the end of Manuel's reign, you could see a greater pressure on Turks.
and could we see a stronger byzantium.
Maybe, but not immediatly significantly so : imperial ambitions of Manuel allowed Seljuks to slowly build-up an unified power base in Central Anatolia, so I don't see it being outright re-conquered, but rather re-submitted into obedience and as a tributary secondary power in the region.
Most of it depends on how it goes after Manuel, tough you'd likely to avoid the semi-anarchic situation and the collapse of Kommenoi power as IOTL.
On that note given the structural issues that still remain would a fourth crusade analougue have happened?
It depends on how well Manuel's succession goes here as well.
Manuel was one of the few Byzantine Emperors Latins held in reverence and put in a almost general good light by Latin chroniclers.
Indeed, the basileos managed to fight back Latin's ambitions over the empire, but managed as well to win a good part of Latin elite by adopting, or at least trying to, several of their customs and institutional features when he dealt with them.
He's one of the few emperors that saw the threat of Latins AND saw their potential as auxiliaries as well, and eventually living up to part of his expectations not only within the Empire, but in Oultremer and southern Italy : that said, the working relationship with various Latin entities prooved shaly : the deep disunity and fierce independent culture of Latin nobles prevented a real overlordship to blossom, with big cultural and political gaps (the expeditions in Egypt, with the conflicting byzantine and yerosolemite interests, are a good exemple)
So, if you manage to get a smooth succession, with whoever inherits the purple follow a similar policy towards Latins (open, but firm) especially with a prestige due to Myriokephalon's consequences, I think you might avoid some of the cultural and political backleash that followed the
Slaughter of Latins.
IOTL, when Barbarossa entered in Constantinople, he actuallt tought about the opportunity of getting rid of the treacherous Greek emperor : he didn't (he couldn't) but it does points the radically changing consideration of the imperial figure (it arguably doesn't help that any powerful enough ruler between Germany and Byzantium was bound to attack the Byzantine Empire).
But Angeloi emperors' policies to point at Latins for more or less everything (alamanikoi taxes are a good exemple of the pointing-and-disnouncing) did a great job increasing the tensions there, when Kommenoi and especially Manuel would have turned that into a more bilateral policy.
While the idea that Oultremer could only be saved by taking back either Babylonia (which meant, in chroniclers flowery language, Egypt) or Romania (the Byzantine Empire) blossomed in the late XIIth century, Angeloi's policy made Byzantine Empire really vulnerable to a western attack.
Long story short : if Kommenoi's succession goes more or less smotthly and is not adverse to Latin (either trough institutional, cultural or just as a political scarecrow and mobilising asset), you might end up with at least a more or less benevolent neutrality acknowledging Constantinople's power (without that enforcing its overlordship). You won't get rid of raising tensions, especially when it come to Italian influence, but you could get away with a lot of most bloody and conflicting issues for a short while).