The problem with e-mail order is its not gaurenteed. e-mail queues up in a buffer and typically goes through anti spam and anti virus scanners which may delay processing of individual messages depending on how those process the threads. So that couple happen in this example is the longer of the two messages would take slightly longer to pass though so you culd end up with:
"I am OK."
"I am OK."
"I have some problems. SAR not needed."
"I have some problems. SAR not needed."

Or remember there are redundant and load balanced routes across the internet so some messages could go one route while others go another and the end result could be a completely different order.

The ther question is does the SPOT system have any debouncing. bouncing is inherent in anything electrical, take the kayboard of your computer for example. When you press a key on the keyboard there will be some noise or bounce as the key contacts makes its first connection. The electronics in any switch/button are designed with this in mind so once it sees the keypress it waits a fraction of a second to see if the key is still pressed. Now systems such as this work the same way just with a longer delay. They may wait a minute from the first receipt of the signal to see if its still transmitting, this would cut down the "oops I bumped the button" false alarms. I know if I were designing a system like spot I'd add in a minute or so delay just for that case. So you may need to stretch your dots and dashes out over a long period of time to get a message thorough.