Component switchers is a big request item these days and mfgrs are way behind. It seems they totally missed the boat on this necessary item. Up until a few months ago the only available component video switchers were pro models, generally starting at $300 and skyrocketing from there. There are finally some consumer level switchers coming out from the usual suspects, but it's slower than you might expect.

An A/V switch could work, it really depends on how long your run is and the quality of the switch. For $20 or less (and a decent return policy), it would be worth it to at least try out to see if you get noticeable video degradation. Perhaps could be a short-term solution until component-capable switchers are actually in supply in the world.