It would work fine if it wasnt for the fact that a speakers impedance (in this case 4 ohms) is only a nominal value - in reality it will vary anything from 3 ohm all the way up to 100ohm or more, depending on input frequency and crossover points, etc.
So while that would nominally make it an 8ohm speaker, it would also completely mangle the impedance curve - for example, the portions of the curve that were 3 ohm will now be 7 ohm (133% increase) whereas the portions that are 20 ohm-ish will now be 24 ohm-ish (an increase of only 20%).
Translation - it'll work, but i wouldnt want to listen to music on it
The other problem with it, however, is that when you bridge, the amp effectively has to change to a push/pull mode (i.e one set of terminals flips phase). Now unless the headunit is designed to do that (90% arent) you'll run into serious issues
