That is true.
You could take profits on half of the options, keep the other half. Or if you are happy with getting BA at $110, keep the options and if the stock drops below $110, you get the stock.
One final option is to take profits on your $110 and turn around and sell the April 3 $105 that are trading at $9. You only start losing on that trade if boeing falls below $96.
One of the things I pointed out was to sell puts at the strike you would like to get the stock at so it makes the decision of holding easier.