That depends on your definition of better. If you're looking for the ultimate in smooth, non-grainy icing, go with boiled.

It's probably easier to keep than to give away.

Yes. Foods such as fudge, divinity, pralines, etc. are cooked by boiling. Also, many pie fillings are boiled, such as lemon meringue and chocolate custard pie, as are some cake icings, such as Seven Minute icing.

Some sweets are boiled and then baked, such as chocolate eclairs and cream puffs. The dough, called pate' a' choux (pronounced pat a shu) is first cooked on top of the stove, then piped onto a baking sheet and baked before being filled with a custard.

Icing cake :/

If you are making icing, yes. If you are making a meringue, no.