Is having a page with all the website links helpful?
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If your only goal is to have these indexed faster, you can remove it - the xml sitemap is already doing that (not exactly faster, but helping Google to discover the url's of your site) - see also http://googlewebmastercentral.blogspot.nl/2008/01/sitemaps-faqs.html
It can be useful for users to have an HTML sitemap - but than you would have to structure the sitemap a little bit more, not just present a plain list of links.
rgds,
Dirk
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Your sitemap will already be doing that and you can get Google to index a page almost immediately by using the "fetch as Google" section in your Google Webmaster Tools.
Probably not a direct answer to your question but have you thought about putting all those helpful links on your 404 page instead? Your site instantly goes from Zero to Hero in my eyes if it has a friendly 404 page
