It doesn't affect the quality of a website. High Quality websites are almost always in the top 100k of Alexa.

Alexa rank is nothing more than numbers, completely wastage of time to focus on it. You can also increase it by using some fake traffic generator bot with proxies.

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It's didn't impact on the quality of the website meanwhile all authority and popular website will have minimum alexa rank.

There is NOT any similarity between ALEXA and the QUALITY of the website. You can have a high quality website (with PR5+) and a high authority without many visits per day and for example it can have an Alexa of 10,000,000