This is one of the main reasons for the discussions. The Icelandic króna is a very small currency that fluctuates significantly. It is a small economy, and the difference in currency complicates access to European financial services. Switching to the euro would enable them to eliminate exchange rate risk with their main trading partners.
There are countries outside the EU that have switched to the euro for this reason, such as Montenegro and Kosovo.
Why wouldn't the price also fluctuate if it is in Euros?
Doesn't the price fluctuation reflect an economic reality?
Related: couldn't a country adopt euros voluntarily without joining the EU? Like Ecuador adopted US dollars.