I didn't see anything about online streaming in the first post- that could have been included and there's no reason to assume it.
Repeaters automatically cut speed and throughput- much better to use an actual Access Point, which would be hard wired to the router. That should be located as close to the area where it's needed but, having installed AV/Home Theater/network for more than 20 years and after solving a lot of AV system network issues, I stand by the comment at the bottom of my posts- WiFi is for convenience, not performance. It can work well, but I wouldn't do it if reliability matters.
Hard wiring isn't always easy, but it is better.
To me, it's more about the redundant amount of hardware needed these days for. . .convenience? A lot of boxes just to save from as much physical inconvenience as possible, not to mention the amount of troubleshooting minions it takes to keep it all running smoothly. While my methods are certainly antiquated, I enjoy the part of needing very little in way of tech support.
I have an echo dot. For all it's convenience, it is a buggy fk. It glitches occasionally, to the point where I just leave it alone for days until it occurs to me to try it again to see if it fixed itself. It, and the wifi both lie about who/what the culprit is. Phone shows wifi signal as excellent, yet Alexa says I need to check the network, and further troubleshooting directs me to physically going into settings and deleting cache, and all other kind of semi-hopeful cures that rarely work, at least without some other new, albeit erroneous quirk to deal with from there on out. And for what, an endless supply of constant spontaneous, or instantaneous entertainment?
Anymore, the least amount of puter/tech nerds or "experts" the better. Fortunately for me, minimalistic approaches are still valid, albeit it not too popular for those who need malfunctioning networks and hardware to make a living from it.