Okay, so what if the British won Trafalgar to the same degree of actual significance but lost [more] ships of the line in the process [including prizes]?
https://en.wikipedia.org/wiki/Order_of_battle_at_the_Battle_of_Trafalgar
Let's assume that the p.o.d. is Dumanoir's squadron reaching the scene of battle earlier due to sailing closer to the French-Spanish fleets and interfering with the attempt by HMS Temeraire to stop HMS Victory's capture. In this case, the British losses [taken from the most heavily damaged ships] are:
HMS Victory captured by the Redoubtable and Bucentaure and later recaptured only to sink from damage with the French ships and Admiral Nelson.
HMS Temeraire dismasted or boarded by Dumanoir [and wrecked after a storm].
HMS Royal Sovereign and Belleisle totally dismasted and [initially] captured.
[HMS Mars and Tonnant totally or heavily dismasted but either saved or wrecked.]
HMS Bellerophon and Colossus boarded or devastated in hull with heavy dismasting, sinking after the battle.
[The French and Spanish practically lose what they actually lost in reality plus Dumanoir's Squadron on the same week as the French-Spanish losses, mostly to wrecking or all to wrecking in an attempt to save some of the above British vessels. In other words, only approximately 10 ships of the line return to Cadiz intact, the rest being wrecked or captured only to be wrecked. The British lose 4-8 of the above vessels.] How would this battle be seen even if the Napoleonic Wars proceed as o.t.l. due to defeat?