Wireless Access Point connection benefits over Wireless Routers

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http://serverfault.com – While I was doing research on wireless connection limits, I stumbled upon this question. Zypher's answer seems to suggest connection capacity benefits of wireless access points over wireless routers. Is there actually a connection capacity benefit to using a pure access point? It seems that the connection limit for a router is based off of mechanical limitations (interference, etc), so does the router attached to the Access Point make a difference? (HowTos)