I've used a Yamaha RXV-373 over HDMI with my computer for the last 5 or 6 years and it's been perfect for movies music and gaming, my pc's audio quality limits it's potential some compared to bluray and cd sources but that's not the receivers fault, I like how the Yamahas are capable of using 6 and 8 ohm speakers, you will need to make sure any surround and center speakers you choose perform similarly to the ones you have already because the imbalance can be quite noticable. I find the sound to be more natural than the similarly priced pioneer I used previously which I found unnecessarily bassy.
Typo 6-8Ohms ?, last time i looked it was 4-8Ohm, but yeah been no issue for me either, regardless of what you or i think sounds better and if he thinks he might use HDMI \ blutooth in the some time future i think the Yamaha RX-V381 which is all so HDCP 2.2 as well,a lot are not and have compatibility issue's with the ROKU4 Amazon units.
Of course this is way more than he's wanting but it's more future proof.
As for the Yamaha HTR-2067, it's old unit and should give you what your after now.
As for pioneer i was thinking of getting one of their units some time ago but what put me off was the problems people were having with the censors how ever this could of been fixed by now. Personal experience with them is low and none existent since i moved tot he US some 15 years ago when i used to find them bright.
Personally if you be happy for a good while with the HTR-2067 which i hope you can get cheap being a old model would allow you to get some real speakers. I was just looking on ebay and believe one could be had for about $50-$60 were as getting the V381 one would take a big chuck of what you have to spend. But i am just going by what i am seeing on ebay and that be $60 for a HTR-5550 which is higher up than what your seeing.
The Yamaha R-S202 seems kinda crappy, well except those looks but think better can be had with a older model.
Either way the Pioneer or Yamaha should not have issue's driving Eltax speakers although there is better but i guess you could put that to preference.