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Sure. First off, you've been asked by the linking company to do so, so you want to accommodate their request, and secondly, it will do you no harm.

I have a lot of local website clients. I use the Wordpress platform exclusively for these websites and have had phenomenal success with rankings for these sites. One particular client's site was no where to be found on Google 2 years ago. They now dominate the top three positions on Google's 1st page on over 100 relevant keywords. (These are strong head terms and not just long tail terms)

So I'm a strong supporter of Wordpress. Of course you have to work on optimizing your pages, but Wordpress makes it so easy and quick to make changes.