Hi Brandon,
There are a couple of variables on how loud a speaker sounds. Db sensitivity will have an effect as well as the ohm rating of a speaker. Without a common reference speaker, it would be hard to say exactly how much difference in volume you would get.
You have to love marketing firms, they like comparing apples to oranges. A radio (head unit) is usually rated at peak watts. So 50 watts is usually 22-25w RMS. Amplifiers are rated by RMS, so a 50w amp would have an 80-100w peak, a lot more power. So now you have 25 watts (4Ω) pushing an 8Ω speaker (twice the resistance). Personally, I like to have lots of power in my radios (min 45w RMS per channel, 100w RMS for a sub). Not because I play them really loud, but the less you push the system, the better clarity you have. Distortion happens when you start driving the amps too hard. It is definitely a juggling act to get a decent stereo into a small car presentably, on a budget you can live with.