I'm going to go with "NO"
I know that won't be popular on an excel forum, but you specifically said DEEP statistical analysis. Its certainly more than possible to use Excel, but it seems to make more sense to use something like "R". We've hit many-a-limitations in Excel which certainly can be worked around with complex formulas or macros (such as line limits for files and similar), but why not use something that can handle it with ease? It takes minutes to run something in "R" that may take hours in Excel, and with the price tag of "$0", there's not a high cost of entry.
Excel is not great for real complex data, and sometimes we use a combination of in-database processing via hadoop with R and some other analytical systems for the really "deep" stuff.
My data analysts often wonder why someone would use "Excel" when you can just use R for much of the same things... some of them rarely touch excel and do even basic table stuff in R.