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site specific spectrum vs. published curves

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Site specific response spectrum is available for a site where an existing
irregular structure requiring dynamic analysis had to be evaluated a few
years ago. A new building is to be built in the same vicinity now. Seismic
criteria is in accordance to FEMA 302 / 303.

If the site specific response spectrum indicate ground accelerations less
than the map values published by FEMA would you think the available site
specific response spectrum (assuming it is reliable) would be a good source
to do seismic design? I think FEMA's acceptability criteria is no less than
70% of the published map values regardless of the site specific response

Thanks for your thoughts.

Ghassem Khosrownia