The fact that they don't update the users (like Coinbase does) tells me they don't know how to fix it and/or don't have a date they can confidently say it will be fixed. I hope it is the latter, but have no confidence. I DO worry about my money/coins on Kraken - if they can't fix their issues, what stops them from closing up shop and taking everything with them?
Kraken is a very serious exchange and one of the biggest in the whole world. I dont think they can just close their business and be gone from one day to another. Of course its always a risk involved when giving someone else control over your money, but for me Kraken is one that I trust more than many others. So far service was very professional for me. I know that there are issues with their site, but this can be fixed, it might only be because of the high amount of users joining their exchange each day.