The Swedish government and military leadership don't have the benefit of hindsight. They don't know how much troops or fleet forces the Russians have waiting for them. They have no way of knowing if this invasion might win the CP the war. They are barely a part of the CP in mid-August, they are just starting to compare notes with the Germans.
For the Swedish leadership, this invasion along these plans would hold huge risks. Committing a major part of the field army for what amounts to a diversion? Even if both Åland and Turku can be taken, after November the Swedish troops in Finland would be very hard to supply or reinforce over the frozen sea; the Russians could support their own troops easily by rail. The people making decisions in Stockholm know this quite well. And if the Swedish force is beaten and captured? That is a big part of the national defence gone right there.
This! While political bickering probably is going to be at a minimum as long as Sweden is at war whit its arch nemesis Russia there might be a reaction to strengthen the defense first. The King will be a monumental figure in this. He might even agree on quiet support for further reforms of Sweden's constitution in exchange for a strong Liberal support to the conservative government. The tactic of the Socialist would then be to show the loyalty for the country by declaring burgensfried. This lends for a super pro Germany government as the King is a great German friend and the conservatives have many contacts directly whit the German government.
Taking Aland is a no brainer and I know there were plans for it but I can't find the source. There is also plans to mine the approach to Turku to denies Russia Bay of Bothnia, rendering it to a Swedish lake (this even if Sweden is in alone against Russia). The Swedish fleet trained together whit the German officers a couple of times so I guess there might be plans to coordinate fleet actions. The same goes for the Army. But to risk the Army, the defense of Sweden, on a gamble? The Socialist would not stand for it, but might go along whit it for the burgensfried if there is real promises of reforms. The Liberals are not going to go against the military again so soon after losing the power on the question of the defense of Sweden and the Conservatives is going to listen to Germany. So there is a possibility for a military adventure.
If this goes wrong, or seems to go wrong, now that's a whole other can of worms. Then the Farmers AND the Workers have something in common: The concern of the defense of Sweden. The Socialist stand to gain from distancing them self from the war government and then the political bickering starts.
UK could wait for this, swoop in to offer to negotiate a peace whit Russia for Sweden where Russia agrees to compensate Sweden for the losses Russia inflicted upon Sweden, let's say a demilitarizes Aland in Swedish possession and some money. All Sweden have to do is to stop all exports to Germany and open its trade whit UK. Even if Sweden says NO to this the opposition to the Government might make political points of this. It's this scenario that would keep the Hammarskjold government awake in August 1914. The third option is to go along whit Germany in hope of rapid successes and then turn to UK and offer a quick peace whit Russia, for let's say Aland, and see them put the pressure on Russia for this.