No.
Think about it. If you have to think about it, the answer is going to be "no."
Signs that one actually needs an external amp are quite audible.
Now, if you want to buy another box (one not certified as safe by any NRTL-certified independent ratings agency - I looked at and heard a friend's Emo amp earlier this evening, and could not help but notice that it lacked UL or ETL certification badging on the back panel) just to buy another audio box - the reason most people buy external amps, frankly - then perhaps think about it.
First, I doubt the volume knob tracks accurately down there. That is to say, I doubt that -45 is really 45dB less than reference (85dB average on calibrated program material, 105dB at 0dBFS on everything). A building would have to be very quiet to support an average listening level of 40dB, which is roughly a loud whisper from someone arm's length away. Furthermore, if you use a Audyssey DynamicEQ (which I highly recommend doing in any case), the control certainly isn't linear, because of the bass and surround boost.
However, IF one makes the assumption that (a) your speakers' rated efficiency is accurate; and (b) your AVR's volume control is where it says it is, then you need to account for peaks of 60dB at the listening position. Let's add 5dB to that to get 1m levels, a fudge factor combining the falloff of direct sound and reflections. So 65dB. To get 65dB from 92dB/W/m speakers, one needs rather less than a watt.
But you can determine your actual requirements fairly easily. There's an interesting test by Pano in the multiway speaker forum at diyaudio.com that you can use. Basically, it involves listening to program material to set the volume, and then playing a downloaded test tone with the probes of a multimeter stuck in your speakers' binding posts to see what voltage the amp is running at that volume.
But based on what you've written, I'll be surprised if more than 2-3 watts are used. So maybe instead of an Emo bruiser you should be looking at a dainty little SET or T-amp!