The problem is that there was virtually nothing for him to pursue and crush. The Ottoman Interregnum was a time of a virtual power vacuum for quite awhile until Bayezid's remaining successors managed to collect enough forces to make an effort at rebuilding an empire. For eight years, there was no one in charge of a united Ottoman Empire, and the fact that nothing could significantly replace it means that there was no one capable of seizing on that power vacuum. The Duchy of Athens (actually left behind by Roger de Flor's Catalans, not the abominable Latin Empire) did still exist, but even the Byzantines - who were not able to gain significantly from the Ottoman defeat at Ankara either - were able to beat up on it in the years after the Interregnum. (That's the whole reason Manuel was able to start the Hexamilion, because he seized the Isthmus from the defunct Duchy.)
I'm sure that states could very easily gain some extra land on the edges, but the problem is that the Ottomans in the fifteenth and sixteenth centuries are roughly comparable to the French in the seventeenth - they have so much potential, and this is their Golden Age, so they are just about indestructible (like cockroaches). I'm sure it's possible to gift some state or other with a brilliant military leader at just the right time to entirely wipe the menace of the Turks off the map, but the fact is that it wouldn't be realistic. Heck, das even handed them a huge military defeat on land and sea in Italy and in northern Serbia in the 1480s in his Agincourt TL, which led to DisNES II. That didn't even stop them, because the Turks were even stronger later on and went on to achieve naval hegemony in the Indian Ocean and Eastern Med, along with serious land power and large chunks of Persia in addition to their OTL position.
If you want to get rid of the Turks entirely - God knows I have - there are plenty of other places to do it. Manzikert is an obvious choice (get rid of Andronikos Doukas), and my very first TL began with Basil II having a viable heir, thus eliminating the decline that led to Zoe and her husbands and the deplorable situation of the Empire in 1071 in the first place. Theoretically, if one were to not allow the Turks into Europe at all (hence my mentioning of the Cantacuzenus and his little civil war), then one could hold the Straits against them, because the Turks didn't really develop a navy until the days of Mehmed II. Taking away Myriokephalon probably wouldn't do anything, because it wasn't the watershed battle that it might seem at first (the Romans went on campaign again the next year and actually won back a few fortresses), but taking away Manuel's obsession with the West and with containing William of Sicily might, because then he might concentrate on the Rum Sultanate more and wipe it out entirely instead of letting it simmer and rebuild for a decade. Then, there are possibilities with not letting the Turks out of the Heartland at all, with a possible Ghaznavid survival or at least establishment of a viable Persian empire during the 11th century that could keep the Seljuks out for a significant amount of time.
Like I said, if it's no Turks you want you can do it, but it's probably too late at that juncture to try much of anything. (I've actually tried a variant on that, with the Crusade at Nicopolis succeeding and Timur attacking to wipe out the last remnants of the Turks, but it was sort of shot down. Also, you could see Strategos' most recent TL.)
Secondly, there are of course major problems with the temporal paradox of something that has been dead for a century and a half "surviving". In any event, Timur's motivations (as I've been told before) really weren't geared towards smashing the Ottomans any more than he did anyway, because the war didn't start until Bayezid Yilderim ArrogancePants tried to get tribute from the wrong vassals.
