"It is for the pilot to decide when it is an emergency,"
Firstly I have to say that probably a touch of gratitiude rather than what the hell are you doing here would be better when greeting those who have come to make sure you are all right.
Ask any of the guys at AAIB departments about the world how pilots cope in times of stress. Your minor problem which you have reported and is not serious can possibly be more serious than you think for a few reasons.
Maybe the sympton you are seeing is not due to what you think but a more serious problem about to get worse before your safe arrival on the ground. While you carry on happy that nothing major is happening everything inside your machine is prepared to fall apart in a big way.
While dealing with your problem you may fail to notice other things going wrong...fuel, weather flight path etc. And before you think this is rubbish remember a certain commercial flight in the USA where all the crew were so busy worrying about trying to get the three greens to come on (in the end it turned out to only be a blown bulb) that they managed to circle so long thinking about it they ran out of fuel bringing their Boeing down with obvious results to all on board. The same three lights caused another to distraction to a crew they flew straight into the ground trying to work out what to do with the problem.
Both these were large public transport craft with highly trained crews who were supposed to know what they were doing. It is very easy to become distracted when faced with unexpected problems. For this reason if an atc upgrades the response to your "small" problem just to be safe in the event of something worse occuring do not blame him just be gratefull that they are there to help in the event of the brown stuff hitting the spinning thing.
That is of course unless you think you are a perfect pilot who can never make any form of error be it in flying or mechanical analysis of your crafts state. If you do see you self as such a pilot then I suggest for your sake give up flying or for heavily insure yourself so your familly can at least have some fun spending the money.