I should have a new update up in a few days, i've been busy with my Constantinople TL. Why i decided to attempt two TLs at once is still a mystery to me
I had an idea in regard to the French cavalry. I read that prior to the Leipzig Campaign Napoleon brought veteran cavalry over from Spain. This was partly the reason his cavalry preformed better during that battle.
So what if Napoleon pulled cavalry from Spain earlier in time for Lutzen? It might leave Joseph short handed at Vitoria but I think its worth it.
He certainly did this in 1814 and, I suspect, also in 1813. I am not sure this would bring the French cavalry up to anything like full strength for Lutzen and the quality of the horses will remain poor. I can see this reducing the superiority of the Allied cavalry to some extent but probably not enough to achieve parity.
Assuming Lutzen still occurs as IOTL the ground is poor for cavalry, in particular in he "quadrilateral" between the four villages where much of the fighting oo place. a lot of ditches, treelines, gardens, buildings etx which is why the Allies IOTL were largely unable to use their cavallry very much although this helped limit the extent of the Imperial Guard attack (note it was mostly Young Guard at Lutzen.
Then here is the Allied command structure at Lutzen which was a mess to put it mildly.
The French will win at Lutzen and probably could do somewhat better than IOTL but, given the circumstances not decisively by any means/ However, Bautzen has better scope for a more decisive Napoleonic victory if Ney can be made to do a better job on rthe French left. Had he done so a large part of the Russo/Prussian army could be crushed and driven accross the frontier of a still neutral Austria. The rest might escape int Silesia.Chancesof this might be improved if Napoleon wins a smewhat bigger victory at Lutzen. This might at least affect morale on both sides if nothing else
IOTL the Russians were seriously considering a retreat into Poland after Bautzen. If apoleon wins this battle decisively as described above the Russians may actually carry out this retreat. If so Prussia has a problem. Do they withdraw with the Russians which means abandoning Silesia and Berlin? Or do they attempt to hold these areas alone against the might f Napoleon's army? Or does Frederick William, who did not want he war at all, being forced into it by certain Prussian generals. and having met another disaster almost on a scale of 1806, try to save Prussia and the Hohenzollern Dynasty be seeking peace with a resurgent Napoleon while there is still something to bargain with. And will Napoleon, having been "betrayed" by Prussia accept a deal or will he crush Prussia once and for all and remove the Hohenzollern Dynasty from power?