I started using python for data science-esque tasks back in late undergrad/early grad school before python had really caught on for scientific computing (i.e. ~2003-2005 back before numpy proper, when numeric and or numarray where the containers of choice).
At the time, I did actually use perl a fair bit for data munging. Perl is a lot nicer for anything that required lots of system calls and involved a lot of pure text processing, but that only goes so far. The standard pattern was pre-process ascii data in perl, write ascii or simple binary formats out to disk, invoke some system executable (often something written in fortran) on the file you've written out, read back in the output. Perl is definitely nicer than python for that workflow. However, that workflow has severe limitations. The roundtrip to disk / stdout / etc is pretty crappy for some things.
There really weren't good numeric data containers in perl, at least that I was aware of at the time. Even before numpy, there was numeric. Numpy/numeric focus on c-like in-memory arrays that can be semi-directly passed into / referenced from low-level libraries. That's huge -- suddenly it's easy to manipulate large numeric datasets in memory and _maintain memory efficiency_. No linked lists, very clear rules about what creates intermediate copies, etc. You then can pass these directly into C / Fortran routines without a copy in many cases. (Okay, that last part is non-trivial, especially at the time, but very possible.)
Then there's plotting. Folks forget just how interactive matplotlib is, and was from the very early days. From the perl side, I was using gnuplot/etc (and even more of a domain specific tool called GMT). That meant static figures. Matplotlib meant I got an interactive figure and something that I could easily embed in Tk to make quick GUIs.
I also used Matlab heavily at the time, but it was pretty difficult for the things that needed to interact with everything else (read: old F77 routines and proprietary domain-specific data processing tools). Licensing was also an issue, as there were a limited number of matlab licenses, and you couldn't reliably count on being able to check one out, especially for cron-esque jobs.
Python bridged the two. You had a matlab like environment, decent data munging ability, a good language, and also a good environment for building other tools. This was all possible in Perl, in principle, but the key tools weren't there in Perl, even almost 20 years ago. Basically Perl couldn't replace Matlab easily and Python could.
So why didn't they get built in Perl instead of Python initially? I suspect the short answer is operator overloading. Python is _really_ nice for that, and it's a very nice way of having flexible array manipulation syntax. Second to that is that Python is more readable, and readability matters in the long term.
Also, don't discount how big of a deal having Tk support by default in python is, though. Yeah, sure, these days folks completely ignore desktop GUIs, but at the time web apps were pretty irrelevant. Desktop GUIs were everything. Being able to whip up a quick reusable gui data processing application that a random lab assistant or new grad student could easily use was/is a very big deal, and that was way easier in Python than most other things, especially at the time.