How Important Was the Seizure of the Reshadieh and Osman I?

As the title says how important was the British seizing the two battleships Reshadieh and Osman I at the start of the Great War in regards to influencing the Ottoman into the Central Powers camp and also for the British fleet? Considering that the Germans were pressing the Ottomans to enter the war and that they controlled the access to Russia's only warm water ports it seems crazy in hindsight to antagonise them by seizing their warships. Sure that was allowed under the contracts and they were offered compensation of £1,000 a day until the end of hostilities and they were returned but it just seems an awful blunder. Looking at their service during the war they don't seem to have done much in the way of note so other than keeping them out of the hands of the Ottomans it doesn't appear to of achieved much other than the unfortunate unintended consequences.

If the British were to of delivered them on completion rather than seizing them and the Goeben and Breslau still make it to Istanbul would the Ottomans have declared war anyway? How about if they were delivered and the Goeben and Breslau were sunk? And does the loss of the two ships from the British fleet change anything that I'm not seeing?

I'm considering some ideas for a timeline on how to keep the Ottomans neutral whilst also getting the best possible deal for them. One train of thought I had was that the British realise what just seizing the ships is likely to cause so go much more softly. Both sides negotiate a deal whereby the two ships are taken into British service with a pair of new Queen Elizabeth class battleships being paid in compensation after the end of hostilities, the straits to remain open, the British guarantee the Ottoman's territorial integrity against outside aggressors, and they agree to back them when they unilaterally announce the abolition of the Capitulations regarding things like taxes, tariffs, automatic most favoured nation status etc. whilst everyone else is occupied with the war. They don't get their ships but they have the promise of better ones in a little while and get to publicly trumpet the abolition of the very unpopular capitulations which should buy a fair amount of good will.
 
OTL the seizures were annoying to the Turks but not in themselves decisive; IIRC the British promised future compensation for them, so the matter might have been smoothed over had events taken a different course.

That Souchon took his force toward Constantinople was almost a given, since the pursuers were coming from Gibraltar east; trying to slip past them to make it to the Atlantic would have been difficult at best. He would have had to stop for coal in Cadiz, which would have allowed the British to gather more forces to hound him. He would probably have ended up like von Spee.

He could have taken his ships to Trieste or Pola, but neither he nor his superiors wanted his force bottled up in the Adriatic. So Constantinople it was. Once there a little pressure on the Turks combined with their resentment toward the British persuaded them to allow the German ships into the Bosporus. Once there the ships were 'sold' to the Turks; in reality Souchon took his orders from Berlin. And in for a penny, in for a pound; the Turks followed this farce with a declaration of war on the Allies.

So could matters have gone differently? Of course; if the British had 'bought' the ships from Turkey instead of seizing them outright; if the British had acquiesed in the 'sale' of the Goeben and Breslau in exchange for Turkish neutrality; or if the Turks had had an attack of common sense and let the matter drop after acquiring the Goeben and Breslau war might well have been averted.
 
The seizure of the ships had nothing to do with the entry of the Ottoman Empire into the war on the side of the Central Powers. The Turks were entirely behind going to war since it was believed that that would be the only way for them to regain the status, let alone maintain their status, of a Great Power.
 
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